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Finding the Fourth Proportional to 103,000.38, 142,154.92 and 74,412.52

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Solution

The fourth proportional to 103,000.38, 142,154.92 and 74,412.52 is: 102,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000.38 : 142,154.92 = 74,412.52 : x
  2. Step 2: Convert to fraction form
    103,000.38/142,154.92 = 74,412.52/x
  3. Step 3: Cross multiply
    103,000.38x = 142,154.92 × 74,412.52
  4. Step 4: Simplify right side
    103,000.38x = 10,578,105,827.60
  5. Step 5: Solve for x
    x = 10,578,105,827.60/103,000.38
  6. Step 6: Final answer
    x = 102,699.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.