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Finding the Fourth Proportional to 132,593.14, 198,828.04 and 48,294.61

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Solution

The fourth proportional to 132,593.14, 198,828.04 and 48,294.61 is: 72,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,593.14 : 198,828.04 = 48,294.61 : x
  2. Step 2: Convert to fraction form
    132,593.14/198,828.04 = 48,294.61/x
  3. Step 3: Cross multiply
    132,593.14x = 198,828.04 × 48,294.61
  4. Step 4: Simplify right side
    132,593.14x = 9,602,322,648.86
  5. Step 5: Solve for x
    x = 9,602,322,648.86/132,593.14
  6. Step 6: Final answer
    x = 72,419.45

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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.