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Finding the Fourth Proportional to 120,943.52, 166,843.92 and 78,515.36

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Solution

The fourth proportional to 120,943.52, 166,843.92 and 78,515.36 is: 108,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,943.52 : 166,843.92 = 78,515.36 : x
  2. Step 2: Convert to fraction form
    120,943.52/166,843.92 = 78,515.36/x
  3. Step 3: Cross multiply
    120,943.52x = 166,843.92 × 78,515.36
  4. Step 4: Simplify right side
    120,943.52x = 13,099,810,442.61
  5. Step 5: Solve for x
    x = 13,099,810,442.61/120,943.52
  6. Step 6: Final answer
    x = 108,313.45

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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.