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Finding the Fourth Proportional to 100,773.29, 151,218.35 and 50,857.29

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Solution

The fourth proportional to 100,773.29, 151,218.35 and 50,857.29 is: 76,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,773.29 : 151,218.35 = 50,857.29 : x
  2. Step 2: Convert to fraction form
    100,773.29/151,218.35 = 50,857.29/x
  3. Step 3: Cross multiply
    100,773.29x = 151,218.35 × 50,857.29
  4. Step 4: Simplify right side
    100,773.29x = 7,690,555,479.27
  5. Step 5: Solve for x
    x = 7,690,555,479.27/100,773.29
  6. Step 6: Final answer
    x = 76,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.