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Finding the Fourth Proportional to 123,642.38, 185,461.56 and 39,401.42

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Solution

The fourth proportional to 123,642.38, 185,461.56 and 39,401.42 is: 59,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,642.38 : 185,461.56 = 39,401.42 : x
  2. Step 2: Convert to fraction form
    123,642.38/185,461.56 = 39,401.42/x
  3. Step 3: Cross multiply
    123,642.38x = 185,461.56 × 39,401.42
  4. Step 4: Simplify right side
    123,642.38x = 7,307,448,819.42
  5. Step 5: Solve for x
    x = 7,307,448,819.42/123,642.38
  6. Step 6: Final answer
    x = 59,101.49

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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.