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Finding the Fourth Proportional to 132,463.80, 198,695.70 and 117,948.60

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Solution

The fourth proportional to 132,463.80, 198,695.70 and 117,948.60 is: 176,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,463.80 : 198,695.70 = 117,948.60 : x
  2. Step 2: Convert to fraction form
    132,463.80/198,695.70 = 117,948.60/x
  3. Step 3: Cross multiply
    132,463.80x = 198,695.70 × 117,948.60
  4. Step 4: Simplify right side
    132,463.80x = 23,435,879,641.02
  5. Step 5: Solve for x
    x = 23,435,879,641.02/132,463.80
  6. Step 6: Final answer
    x = 176,922.90

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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.