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Finding the Fourth Proportional to 123,400.78, 185,101.10 and 40,294.78

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Solution

The fourth proportional to 123,400.78, 185,101.10 and 40,294.78 is: 60,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,400.78 : 185,101.10 = 40,294.78 : x
  2. Step 2: Convert to fraction form
    123,400.78/185,101.10 = 40,294.78/x
  3. Step 3: Cross multiply
    123,400.78x = 185,101.10 × 40,294.78
  4. Step 4: Simplify right side
    123,400.78x = 7,458,608,102.26
  5. Step 5: Solve for x
    x = 7,458,608,102.26/123,400.78
  6. Step 6: Final answer
    x = 60,442.15

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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.