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Finding the Fourth Proportional to 132,185.28, 198,252.72 and 37,414.68

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Solution

The fourth proportional to 132,185.28, 198,252.72 and 37,414.68 is: 56,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,185.28 : 198,252.72 = 37,414.68 : x
  2. Step 2: Convert to fraction form
    132,185.28/198,252.72 = 37,414.68/x
  3. Step 3: Cross multiply
    132,185.28x = 198,252.72 × 37,414.68
  4. Step 4: Simplify right side
    132,185.28x = 7,417,562,077.93
  5. Step 5: Solve for x
    x = 7,417,562,077.93/132,185.28
  6. Step 6: Final answer
    x = 56,114.89

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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.