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Finding the Fourth Proportional to 132,471.44, 182,756.67 and 75,098.60

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Solution

The fourth proportional to 132,471.44, 182,756.67 and 75,098.60 is: 103,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,471.44 : 182,756.67 = 75,098.60 : x
  2. Step 2: Convert to fraction form
    132,471.44/182,756.67 = 75,098.60/x
  3. Step 3: Cross multiply
    132,471.44x = 182,756.67 × 75,098.60
  4. Step 4: Simplify right side
    132,471.44x = 13,724,769,143.88
  5. Step 5: Solve for x
    x = 13,724,769,143.88/132,471.44
  6. Step 6: Final answer
    x = 103,605.50

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Why These Related Problems?

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