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Finding the Fourth Proportional to 138,814.20, 191,563.38 and 75,151.98

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Solution

The fourth proportional to 138,814.20, 191,563.38 and 75,151.98 is: 103,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.20 : 191,563.38 = 75,151.98 : x
  2. Step 2: Convert to fraction form
    138,814.20/191,563.38 = 75,151.98/x
  3. Step 3: Cross multiply
    138,814.20x = 191,563.38 × 75,151.98
  4. Step 4: Simplify right side
    138,814.20x = 14,396,367,302.49
  5. Step 5: Solve for x
    x = 14,396,367,302.49/138,814.20
  6. Step 6: Final answer
    x = 103,709.62

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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.