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Finding the Fourth Proportional to 275,613.18, 413,186.49 and 109,310.46

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Solution

The fourth proportional to 275,613.18, 413,186.49 and 109,310.46 is: 163,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,613.18 : 413,186.49 = 109,310.46 : x
  2. Step 2: Convert to fraction form
    275,613.18/413,186.49 = 109,310.46/x
  3. Step 3: Cross multiply
    275,613.18x = 413,186.49 × 109,310.46
  4. Step 4: Simplify right side
    275,613.18x = 45,165,605,287.69
  5. Step 5: Solve for x
    x = 45,165,605,287.69/275,613.18
  6. Step 6: Final answer
    x = 163,873.17

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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.