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Finding the Fourth Proportional to 123,398.46, 185,098.28 and 38,008.31

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Solution

The fourth proportional to 123,398.46, 185,098.28 and 38,008.31 is: 57,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,398.46 : 185,098.28 = 38,008.31 : x
  2. Step 2: Convert to fraction form
    123,398.46/185,098.28 = 38,008.31/x
  3. Step 3: Cross multiply
    123,398.46x = 185,098.28 × 38,008.31
  4. Step 4: Simplify right side
    123,398.46x = 7,035,271,691.17
  5. Step 5: Solve for x
    x = 7,035,271,691.17/123,398.46
  6. Step 6: Final answer
    x = 57,012.64

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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.