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Finding the Fourth Proportional to 120,399.38, 166,152.39 and 72,643.50

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Solution

The fourth proportional to 120,399.38, 166,152.39 and 72,643.50 is: 100,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,399.38 : 166,152.39 = 72,643.50 : x
  2. Step 2: Convert to fraction form
    120,399.38/166,152.39 = 72,643.50/x
  3. Step 3: Cross multiply
    120,399.38x = 166,152.39 × 72,643.50
  4. Step 4: Simplify right side
    120,399.38x = 12,069,891,142.97
  5. Step 5: Solve for x
    x = 12,069,891,142.97/120,399.38
  6. Step 6: Final answer
    x = 100,248.78

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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.