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Finding the Fourth Proportional to 516,729.50, 775,097.50 and 142,755.74

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Solution

The fourth proportional to 516,729.50, 775,097.50 and 142,755.74 is: 214,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,729.50 : 775,097.50 = 142,755.74 : x
  2. Step 2: Convert to fraction form
    516,729.50/775,097.50 = 142,755.74/x
  3. Step 3: Cross multiply
    516,729.50x = 775,097.50 × 142,755.74
  4. Step 4: Simplify right side
    516,729.50x = 110,649,617,184.65
  5. Step 5: Solve for x
    x = 110,649,617,184.65/516,729.50
  6. Step 6: Final answer
    x = 214,134.51

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