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Finding the Fourth Proportional to 516,923.57, 775,422.36 and 137,842.31

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Solution

The fourth proportional to 516,923.57, 775,422.36 and 137,842.31 is: 206,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,923.57 : 775,422.36 = 137,842.31 : x
  2. Step 2: Convert to fraction form
    516,923.57/775,422.36 = 137,842.31/x
  3. Step 3: Cross multiply
    516,923.57x = 775,422.36 × 137,842.31
  4. Step 4: Simplify right side
    516,923.57x = 106,886,011,266.61
  5. Step 5: Solve for x
    x = 106,886,011,266.61/516,923.57
  6. Step 6: Final answer
    x = 206,773.34

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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.