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Finding the Fourth Proportional to 132,442.20, 198,371.70 and 114,946.20

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Solution

The fourth proportional to 132,442.20, 198,371.70 and 114,946.20 is: 172,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,442.20 : 198,371.70 = 114,946.20 : x
  2. Step 2: Convert to fraction form
    132,442.20/198,371.70 = 114,946.20/x
  3. Step 3: Cross multiply
    132,442.20x = 198,371.70 × 114,946.20
  4. Step 4: Simplify right side
    132,442.20x = 22,802,073,102.54
  5. Step 5: Solve for x
    x = 22,802,073,102.54/132,442.20
  6. Step 6: Final answer
    x = 172,166.22

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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.