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Finding the Fourth Proportional to 174,151.92, 261,228.11 and 47,793.90

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Solution

The fourth proportional to 174,151.92, 261,228.11 and 47,793.90 is: 71,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,151.92 : 261,228.11 = 47,793.90 : x
  2. Step 2: Convert to fraction form
    174,151.92/261,228.11 = 47,793.90/x
  3. Step 3: Cross multiply
    174,151.92x = 261,228.11 × 47,793.90
  4. Step 4: Simplify right side
    174,151.92x = 12,485,109,841.02
  5. Step 5: Solve for x
    x = 12,485,109,841.02/174,151.92
  6. Step 6: Final answer
    x = 71,690.91

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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.