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Finding the Fourth Proportional to 516,732.52, 775,113.36 and 142,755.52

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Solution

The fourth proportional to 516,732.52, 775,113.36 and 142,755.52 is: 214,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,732.52 : 775,113.36 = 142,755.52 : x
  2. Step 2: Convert to fraction form
    516,732.52/775,113.36 = 142,755.52/x
  3. Step 3: Cross multiply
    516,732.52x = 775,113.36 × 142,755.52
  4. Step 4: Simplify right side
    516,732.52x = 110,651,708,292.63
  5. Step 5: Solve for x
    x = 110,651,708,292.63/516,732.52
  6. Step 6: Final answer
    x = 214,137.30

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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.