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Finding the Fourth Proportional to 132,321.52, 198,481.87 and 53,434.81

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Solution

The fourth proportional to 132,321.52, 198,481.87 and 53,434.81 is: 80,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321.52 : 198,481.87 = 53,434.81 : x
  2. Step 2: Convert to fraction form
    132,321.52/198,481.87 = 53,434.81/x
  3. Step 3: Cross multiply
    132,321.52x = 198,481.87 × 53,434.81
  4. Step 4: Simplify right side
    132,321.52x = 10,605,841,011.89
  5. Step 5: Solve for x
    x = 10,605,841,011.89/132,321.52
  6. Step 6: Final answer
    x = 80,152.05

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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.