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Finding the Fourth Proportional to 257,934.60, 386,901.90 and 108,125.10

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Solution

The fourth proportional to 257,934.60, 386,901.90 and 108,125.10 is: 162,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,934.60 : 386,901.90 = 108,125.10 : x
  2. Step 2: Convert to fraction form
    257,934.60/386,901.90 = 108,125.10/x
  3. Step 3: Cross multiply
    257,934.60x = 386,901.90 × 108,125.10
  4. Step 4: Simplify right side
    257,934.60x = 41,833,806,627.69
  5. Step 5: Solve for x
    x = 41,833,806,627.69/257,934.60
  6. Step 6: Final answer
    x = 162,187.65

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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.