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Finding the Fourth Proportional to 404,193.80, 606,233.10 and 137,966.60

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Solution

The fourth proportional to 404,193.80, 606,233.10 and 137,966.60 is: 206,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,193.80 : 606,233.10 = 137,966.60 : x
  2. Step 2: Convert to fraction form
    404,193.80/606,233.10 = 137,966.60/x
  3. Step 3: Cross multiply
    404,193.80x = 606,233.10 × 137,966.60
  4. Step 4: Simplify right side
    404,193.80x = 83,639,919,614.46
  5. Step 5: Solve for x
    x = 83,639,919,614.46/404,193.80
  6. Step 6: Final answer
    x = 206,930.24

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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.