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Finding the Fourth Proportional to 252,592.29, 378,951.21 and 75,099.02

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Solution

The fourth proportional to 252,592.29, 378,951.21 and 75,099.02 is: 112,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,592.29 : 378,951.21 = 75,099.02 : x
  2. Step 2: Convert to fraction form
    252,592.29/378,951.21 = 75,099.02/x
  3. Step 3: Cross multiply
    252,592.29x = 378,951.21 × 75,099.02
  4. Step 4: Simplify right side
    252,592.29x = 28,458,862,604.06
  5. Step 5: Solve for x
    x = 28,458,862,604.06/252,592.29
  6. Step 6: Final answer
    x = 112,667.19

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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.