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Finding the Fourth Proportional to 120,131.82, 165,754.40 and 71,724.38

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Solution

The fourth proportional to 120,131.82, 165,754.40 and 71,724.38 is: 98,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,131.82 : 165,754.40 = 71,724.38 : x
  2. Step 2: Convert to fraction form
    120,131.82/165,754.40 = 71,724.38/x
  3. Step 3: Cross multiply
    120,131.82x = 165,754.40 × 71,724.38
  4. Step 4: Simplify right side
    120,131.82x = 11,888,630,384.88
  5. Step 5: Solve for x
    x = 11,888,630,384.88/120,131.82
  6. Step 6: Final answer
    x = 98,963.21

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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.