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Finding the Fourth Proportional to 208,982.34, 288,483.90 and 141,091.27

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Solution

The fourth proportional to 208,982.34, 288,483.90 and 141,091.27 is: 194,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,982.34 : 288,483.90 = 141,091.27 : x
  2. Step 2: Convert to fraction form
    208,982.34/288,483.90 = 141,091.27/x
  3. Step 3: Cross multiply
    208,982.34x = 288,483.90 × 141,091.27
  4. Step 4: Simplify right side
    208,982.34x = 40,702,559,765.71
  5. Step 5: Solve for x
    x = 40,702,559,765.71/208,982.34
  6. Step 6: Final answer
    x = 194,765.55

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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.