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Finding the Fourth Proportional to 123,899.92, 185,856.94 and 35,146.48

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Solution

The fourth proportional to 123,899.92, 185,856.94 and 35,146.48 is: 52,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,899.92 : 185,856.94 = 35,146.48 : x
  2. Step 2: Convert to fraction form
    123,899.92/185,856.94 = 35,146.48/x
  3. Step 3: Cross multiply
    123,899.92x = 185,856.94 × 35,146.48
  4. Step 4: Simplify right side
    123,899.92x = 6,532,217,224.57
  5. Step 5: Solve for x
    x = 6,532,217,224.57/123,899.92
  6. Step 6: Final answer
    x = 52,721.72

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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.