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Finding the Fourth Proportional to 132,039.88, 182,238.32 and 78,354.50

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Solution

The fourth proportional to 132,039.88, 182,238.32 and 78,354.50 is: 108,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,039.88 : 182,238.32 = 78,354.50 : x
  2. Step 2: Convert to fraction form
    132,039.88/182,238.32 = 78,354.50/x
  3. Step 3: Cross multiply
    132,039.88x = 182,238.32 × 78,354.50
  4. Step 4: Simplify right side
    132,039.88x = 14,279,191,729.13
  5. Step 5: Solve for x
    x = 14,279,191,729.13/132,039.88
  6. Step 6: Final answer
    x = 108,143.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.