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Finding the Fourth Proportional to 132,215.80, 198,437.10 and 53,386.60

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Solution

The fourth proportional to 132,215.80, 198,437.10 and 53,386.60 is: 80,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,215.80 : 198,437.10 = 53,386.60 : x
  2. Step 2: Convert to fraction form
    132,215.80/198,437.10 = 53,386.60/x
  3. Step 3: Cross multiply
    132,215.80x = 198,437.10 × 53,386.60
  4. Step 4: Simplify right side
    132,215.80x = 10,593,882,082.86
  5. Step 5: Solve for x
    x = 10,593,882,082.86/132,215.80
  6. Step 6: Final answer
    x = 80,125.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.