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Finding the Fourth Proportional to 132,819.62, 199,170.80 and 38,028.29

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Solution

The fourth proportional to 132,819.62, 199,170.80 and 38,028.29 is: 57,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,819.62 : 199,170.80 = 38,028.29 : x
  2. Step 2: Convert to fraction form
    132,819.62/199,170.80 = 38,028.29/x
  3. Step 3: Cross multiply
    132,819.62x = 199,170.80 × 38,028.29
  4. Step 4: Simplify right side
    132,819.62x = 7,574,124,941.93
  5. Step 5: Solve for x
    x = 7,574,124,941.93/132,819.62
  6. Step 6: Final answer
    x = 57,025.65

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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.