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Finding the Fourth Proportional to 516,731.96, 775,112.52 and 142,754.96

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Solution

The fourth proportional to 516,731.96, 775,112.52 and 142,754.96 is: 214,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,731.96 : 775,112.52 = 142,754.96 : x
  2. Step 2: Convert to fraction form
    516,731.96/775,112.52 = 142,754.96/x
  3. Step 3: Cross multiply
    516,731.96x = 775,112.52 × 142,754.96
  4. Step 4: Simplify right side
    516,731.96x = 110,651,152,912.54
  5. Step 5: Solve for x
    x = 110,651,152,912.54/516,731.96
  6. Step 6: Final answer
    x = 214,136.46

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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.