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Finding the Fourth Proportional to 120,324.50, 166,049.78 and 65,875.76

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Solution

The fourth proportional to 120,324.50, 166,049.78 and 65,875.76 is: 90,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,324.50 : 166,049.78 = 65,875.76 : x
  2. Step 2: Convert to fraction form
    120,324.50/166,049.78 = 65,875.76/x
  3. Step 3: Cross multiply
    120,324.50x = 166,049.78 × 65,875.76
  4. Step 4: Simplify right side
    120,324.50x = 10,938,654,295.71
  5. Step 5: Solve for x
    x = 10,938,654,295.71/120,324.50
  6. Step 6: Final answer
    x = 90,909.62

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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.