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Finding the Fourth Proportional to 132,406.70, 198,537.15 and 53,431.70

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Solution

The fourth proportional to 132,406.70, 198,537.15 and 53,431.70 is: 80,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.70 : 198,537.15 = 53,431.70 : x
  2. Step 2: Convert to fraction form
    132,406.70/198,537.15 = 53,431.70/x
  3. Step 3: Cross multiply
    132,406.70x = 198,537.15 × 53,431.70
  4. Step 4: Simplify right side
    132,406.70x = 10,608,177,437.66
  5. Step 5: Solve for x
    x = 10,608,177,437.66/132,406.70
  6. Step 6: Final answer
    x = 80,118.13

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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.