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Finding the Fourth Proportional to 516,812.94, 775,157.89 and 137,762.10

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Solution

The fourth proportional to 516,812.94, 775,157.89 and 137,762.10 is: 206,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,812.94 : 775,157.89 = 137,762.10 : x
  2. Step 2: Convert to fraction form
    516,812.94/775,157.89 = 137,762.10/x
  3. Step 3: Cross multiply
    516,812.94x = 775,157.89 × 137,762.10
  4. Step 4: Simplify right side
    516,812.94x = 106,787,378,757.97
  5. Step 5: Solve for x
    x = 106,787,378,757.97/516,812.94
  6. Step 6: Final answer
    x = 206,626.75

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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.