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Finding the Fourth Proportional to 132,059.88, 198,105.22 and 47,859.70

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Solution

The fourth proportional to 132,059.88, 198,105.22 and 47,859.70 is: 71,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,059.88 : 198,105.22 = 47,859.70 : x
  2. Step 2: Convert to fraction form
    132,059.88/198,105.22 = 47,859.70/x
  3. Step 3: Cross multiply
    132,059.88x = 198,105.22 × 47,859.70
  4. Step 4: Simplify right side
    132,059.88x = 9,481,256,397.63
  5. Step 5: Solve for x
    x = 9,481,256,397.63/132,059.88
  6. Step 6: Final answer
    x = 71,795.13

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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.