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Finding the Fourth Proportional to 123,760.80, 185,641.20 and 40,654.80

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Solution

The fourth proportional to 123,760.80, 185,641.20 and 40,654.80 is: 60,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760.80 : 185,641.20 = 40,654.80 : x
  2. Step 2: Convert to fraction form
    123,760.80/185,641.20 = 40,654.80/x
  3. Step 3: Cross multiply
    123,760.80x = 185,641.20 × 40,654.80
  4. Step 4: Simplify right side
    123,760.80x = 7,547,205,857.76
  5. Step 5: Solve for x
    x = 7,547,205,857.76/123,760.80
  6. Step 6: Final answer
    x = 60,982.20

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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.