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Finding the Fourth Proportional to 132,931.98, 199,435.64 and 54,102.78

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Solution

The fourth proportional to 132,931.98, 199,435.64 and 54,102.78 is: 81,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,931.98 : 199,435.64 = 54,102.78 : x
  2. Step 2: Convert to fraction form
    132,931.98/199,435.64 = 54,102.78/x
  3. Step 3: Cross multiply
    132,931.98x = 199,435.64 × 54,102.78
  4. Step 4: Simplify right side
    132,931.98x = 10,790,022,555.08
  5. Step 5: Solve for x
    x = 10,790,022,555.08/132,931.98
  6. Step 6: Final answer
    x = 81,169.50

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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.