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Finding the Fourth Proportional to 132,635.71, 198,967.80 and 56,742.13

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Solution

The fourth proportional to 132,635.71, 198,967.80 and 56,742.13 is: 85,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,635.71 : 198,967.80 = 56,742.13 : x
  2. Step 2: Convert to fraction form
    132,635.71/198,967.80 = 56,742.13/x
  3. Step 3: Cross multiply
    132,635.71x = 198,967.80 × 56,742.13
  4. Step 4: Simplify right side
    132,635.71x = 11,289,856,773.41
  5. Step 5: Solve for x
    x = 11,289,856,773.41/132,635.71
  6. Step 6: Final answer
    x = 85,119.28

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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.