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Finding the Fourth Proportional to 123,202.92, 169,981.22 and 75,406.44

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Solution

The fourth proportional to 123,202.92, 169,981.22 and 75,406.44 is: 104,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.92 : 169,981.22 = 75,406.44 : x
  2. Step 2: Convert to fraction form
    123,202.92/169,981.22 = 75,406.44/x
  3. Step 3: Cross multiply
    123,202.92x = 169,981.22 × 75,406.44
  4. Step 4: Simplify right side
    123,202.92x = 12,817,678,667.06
  5. Step 5: Solve for x
    x = 12,817,678,667.06/123,202.92
  6. Step 6: Final answer
    x = 104,037.13

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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.