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Finding the Fourth Proportional to 123,854.49, 185,781.74 and 53,732.25

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Solution

The fourth proportional to 123,854.49, 185,781.74 and 53,732.25 is: 80,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,854.49 : 185,781.74 = 53,732.25 : x
  2. Step 2: Convert to fraction form
    123,854.49/185,781.74 = 53,732.25/x
  3. Step 3: Cross multiply
    123,854.49x = 185,781.74 × 53,732.25
  4. Step 4: Simplify right side
    123,854.49x = 9,982,470,630.45
  5. Step 5: Solve for x
    x = 9,982,470,630.45/123,854.49
  6. Step 6: Final answer
    x = 80,598.38

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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.