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Finding the Fourth Proportional to 132,706.55, 198,592.11 and 82,810.14

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Solution

The fourth proportional to 132,706.55, 198,592.11 and 82,810.14 is: 123,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,706.55 : 198,592.11 = 82,810.14 : x
  2. Step 2: Convert to fraction form
    132,706.55/198,592.11 = 82,810.14/x
  3. Step 3: Cross multiply
    132,706.55x = 198,592.11 × 82,810.14
  4. Step 4: Simplify right side
    132,706.55x = 16,445,440,432.00
  5. Step 5: Solve for x
    x = 16,445,440,432.00/132,706.55
  6. Step 6: Final answer
    x = 123,923.36

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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.