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Finding the Fourth Proportional to 132,892.13, 199,371 and 39,397.88

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Solution

The fourth proportional to 132,892.13, 199,371 and 39,397.88 is: 59,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,892.13 : 199,371 = 39,397.88 : x
  2. Step 2: Convert to fraction form
    132,892.13/199,371 = 39,397.88/x
  3. Step 3: Cross multiply
    132,892.13x = 199,371 × 39,397.88
  4. Step 4: Simplify right side
    132,892.13x = 7,854,793,736.63
  5. Step 5: Solve for x
    x = 7,854,793,736.63/132,892.13
  6. Step 6: Final answer
    x = 59,106.54

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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.