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Finding the Fourth Proportional to 120,804.13, 166,793.09 and 75,502.47

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Solution

The fourth proportional to 120,804.13, 166,793.09 and 75,502.47 is: 104,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804.13 : 166,793.09 = 75,502.47 : x
  2. Step 2: Convert to fraction form
    120,804.13/166,793.09 = 75,502.47/x
  3. Step 3: Cross multiply
    120,804.13x = 166,793.09 × 75,502.47
  4. Step 4: Simplify right side
    120,804.13x = 12,593,290,008.38
  5. Step 5: Solve for x
    x = 12,593,290,008.38/120,804.13
  6. Step 6: Final answer
    x = 104,245.53

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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.