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Finding the Fourth Proportional to 132,532.56, 198,654.21 and 65,111.04

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Solution

The fourth proportional to 132,532.56, 198,654.21 and 65,111.04 is: 97,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,532.56 : 198,654.21 = 65,111.04 : x
  2. Step 2: Convert to fraction form
    132,532.56/198,654.21 = 65,111.04/x
  3. Step 3: Cross multiply
    132,532.56x = 198,654.21 × 65,111.04
  4. Step 4: Simplify right side
    132,532.56x = 12,934,582,213.48
  5. Step 5: Solve for x
    x = 12,934,582,213.48/132,532.56
  6. Step 6: Final answer
    x = 97,595.51

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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.