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Finding the Fourth Proportional to 275,713.48, 413,568.69 and 107,350.93

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Solution

The fourth proportional to 275,713.48, 413,568.69 and 107,350.93 is: 161,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,713.48 : 413,568.69 = 107,350.93 : x
  2. Step 2: Convert to fraction form
    275,713.48/413,568.69 = 107,350.93/x
  3. Step 3: Cross multiply
    275,713.48x = 413,568.69 × 107,350.93
  4. Step 4: Simplify right side
    275,713.48x = 44,396,983,490.38
  5. Step 5: Solve for x
    x = 44,396,983,490.38/275,713.48
  6. Step 6: Final answer
    x = 161,025.80

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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.