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Finding the Fourth Proportional to 208,028.40, 312,042.60 and 205,954.80

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Solution

The fourth proportional to 208,028.40, 312,042.60 and 205,954.80 is: 308,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,028.40 : 312,042.60 = 205,954.80 : x
  2. Step 2: Convert to fraction form
    208,028.40/312,042.60 = 205,954.80/x
  3. Step 3: Cross multiply
    208,028.40x = 312,042.60 × 205,954.80
  4. Step 4: Simplify right side
    208,028.40x = 64,266,671,274.48
  5. Step 5: Solve for x
    x = 64,266,671,274.48/208,028.40
  6. Step 6: Final answer
    x = 308,932.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.