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Finding the Fourth Proportional to 132,441.97, 198,787.81 and 48,283.47

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Solution

The fourth proportional to 132,441.97, 198,787.81 and 48,283.47 is: 72,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441.97 : 198,787.81 = 48,283.47 : x
  2. Step 2: Convert to fraction form
    132,441.97/198,787.81 = 48,283.47/x
  3. Step 3: Cross multiply
    132,441.97x = 198,787.81 × 48,283.47
  4. Step 4: Simplify right side
    132,441.97x = 9,598,165,636.76
  5. Step 5: Solve for x
    x = 9,598,165,636.76/132,441.97
  6. Step 6: Final answer
    x = 72,470.73

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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.