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Finding the Fourth Proportional to 516,730.46, 775,110.26 and 142,753.46

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Solution

The fourth proportional to 516,730.46, 775,110.26 and 142,753.46 is: 214,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,730.46 : 775,110.26 = 142,753.46 : x
  2. Step 2: Convert to fraction form
    516,730.46/775,110.26 = 142,753.46/x
  3. Step 3: Cross multiply
    516,730.46x = 775,110.26 × 142,753.46
  4. Step 4: Simplify right side
    516,730.46x = 110,649,667,977.83
  5. Step 5: Solve for x
    x = 110,649,667,977.83/516,730.46
  6. Step 6: Final answer
    x = 214,134.21

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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.