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Finding the Fourth Proportional to 132,894.53, 199,381.99 and 47,494.20

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Solution

The fourth proportional to 132,894.53, 199,381.99 and 47,494.20 is: 71,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894.53 : 199,381.99 = 47,494.20 : x
  2. Step 2: Convert to fraction form
    132,894.53/199,381.99 = 47,494.20/x
  3. Step 3: Cross multiply
    132,894.53x = 199,381.99 × 47,494.20
  4. Step 4: Simplify right side
    132,894.53x = 9,469,488,109.46
  5. Step 5: Solve for x
    x = 9,469,488,109.46/132,894.53
  6. Step 6: Final answer
    x = 71,255.66

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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.