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Finding the Fourth Proportional to 275,753.14, 413,630.03 and 86,214.50

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Solution

The fourth proportional to 275,753.14, 413,630.03 and 86,214.50 is: 129,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,753.14 : 413,630.03 = 86,214.50 : x
  2. Step 2: Convert to fraction form
    275,753.14/413,630.03 = 86,214.50/x
  3. Step 3: Cross multiply
    275,753.14x = 413,630.03 × 86,214.50
  4. Step 4: Simplify right side
    275,753.14x = 35,660,904,095.59
  5. Step 5: Solve for x
    x = 35,660,904,095.59/275,753.14
  6. Step 6: Final answer
    x = 129,321.84

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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.