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Finding the Fourth Proportional to 516,817.09, 775,164.13 and 137,766.25

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Solution

The fourth proportional to 516,817.09, 775,164.13 and 137,766.25 is: 206,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,817.09 : 775,164.13 = 137,766.25 : x
  2. Step 2: Convert to fraction form
    516,817.09/775,164.13 = 137,766.25/x
  3. Step 3: Cross multiply
    516,817.09x = 775,164.13 × 137,766.25
  4. Step 4: Simplify right side
    516,817.09x = 106,791,455,949.15
  5. Step 5: Solve for x
    x = 106,791,455,949.15/516,817.09
  6. Step 6: Final answer
    x = 206,632.98

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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.