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Finding the Fourth Proportional to 132,041.88, 182,241.08 and 78,356.50

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Solution

The fourth proportional to 132,041.88, 182,241.08 and 78,356.50 is: 108,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,041.88 : 182,241.08 = 78,356.50 : x
  2. Step 2: Convert to fraction form
    132,041.88/182,241.08 = 78,356.50/x
  3. Step 3: Cross multiply
    132,041.88x = 182,241.08 × 78,356.50
  4. Step 4: Simplify right side
    132,041.88x = 14,279,773,185.02
  5. Step 5: Solve for x
    x = 14,279,773,185.02/132,041.88
  6. Step 6: Final answer
    x = 108,145.79

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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.