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Finding the Fourth Proportional to 253,858.41, 350,327.03 and 140,691.69

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Solution

The fourth proportional to 253,858.41, 350,327.03 and 140,691.69 is: 194,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858.41 : 350,327.03 = 140,691.69 : x
  2. Step 2: Convert to fraction form
    253,858.41/350,327.03 = 140,691.69/x
  3. Step 3: Cross multiply
    253,858.41x = 350,327.03 × 140,691.69
  4. Step 4: Simplify right side
    253,858.41x = 49,288,101,199.92
  5. Step 5: Solve for x
    x = 49,288,101,199.92/253,858.41
  6. Step 6: Final answer
    x = 194,155.87

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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.