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Finding the Fourth Proportional to 132,854.85, 199,143.84 and 57,954.87

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Solution

The fourth proportional to 132,854.85, 199,143.84 and 57,954.87 is: 86,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,854.85 : 199,143.84 = 57,954.87 : x
  2. Step 2: Convert to fraction form
    132,854.85/199,143.84 = 57,954.87/x
  3. Step 3: Cross multiply
    132,854.85x = 199,143.84 × 57,954.87
  4. Step 4: Simplify right side
    132,854.85x = 11,541,355,358.50
  5. Step 5: Solve for x
    x = 11,541,355,358.50/132,854.85
  6. Step 6: Final answer
    x = 86,871.92

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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.