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Finding the Fourth Proportional to 132,711.10, 198,580.65 and 97,719.10

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Solution

The fourth proportional to 132,711.10, 198,580.65 and 97,719.10 is: 146,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,711.10 : 198,580.65 = 97,719.10 : x
  2. Step 2: Convert to fraction form
    132,711.10/198,580.65 = 97,719.10/x
  3. Step 3: Cross multiply
    132,711.10x = 198,580.65 × 97,719.10
  4. Step 4: Simplify right side
    132,711.10x = 19,405,122,395.42
  5. Step 5: Solve for x
    x = 19,405,122,395.42/132,711.10
  6. Step 6: Final answer
    x = 146,220.79

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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.