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Finding the Fourth Proportional to 208,777,793.90, 288,113,546.03 and 114,698,034.05

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Solution

The fourth proportional to 208,777,793.90, 288,113,546.03 and 114,698,034.05 is: 158,283,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,777,793.90 : 288,113,546.03 = 114,698,034.05 : x
  2. Step 2: Convert to fraction form
    208,777,793.90/288,113,546.03 = 114,698,034.05/x
  3. Step 3: Cross multiply
    208,777,793.90x = 288,113,546.03 × 114,698,034.05
  4. Step 4: Simplify right side
    208,777,793.90x = 33,046,057,310,801,124
  5. Step 5: Solve for x
    x = 33,046,057,310,801,124/208,777,793.90
  6. Step 6: Final answer
    x = 158,283,391.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.