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Finding the Fourth Proportional to 132,029.50, 197,956.76 and 47,778.71

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Solution

The fourth proportional to 132,029.50, 197,956.76 and 47,778.71 is: 71,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,029.50 : 197,956.76 = 47,778.71 : x
  2. Step 2: Convert to fraction form
    132,029.50/197,956.76 = 47,778.71/x
  3. Step 3: Cross multiply
    132,029.50x = 197,956.76 × 47,778.71
  4. Step 4: Simplify right side
    132,029.50x = 9,458,117,399.90
  5. Step 5: Solve for x
    x = 9,458,117,399.90/132,029.50
  6. Step 6: Final answer
    x = 71,636.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.