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Finding the Fourth Proportional to 516,766.20, 775,099.15 and 156,940.15

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Solution

The fourth proportional to 516,766.20, 775,099.15 and 156,940.15 is: 235,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,766.20 : 775,099.15 = 156,940.15 : x
  2. Step 2: Convert to fraction form
    516,766.20/775,099.15 = 156,940.15/x
  3. Step 3: Cross multiply
    516,766.20x = 775,099.15 × 156,940.15
  4. Step 4: Simplify right side
    516,766.20x = 121,644,176,865.87
  5. Step 5: Solve for x
    x = 121,644,176,865.87/516,766.20
  6. Step 6: Final answer
    x = 235,394.99

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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.