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Finding the Fourth Proportional to 275,723.29, 413,598.50 and 76,039.25

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Solution

The fourth proportional to 275,723.29, 413,598.50 and 76,039.25 is: 114,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,723.29 : 413,598.50 = 76,039.25 : x
  2. Step 2: Convert to fraction form
    275,723.29/413,598.50 = 76,039.25/x
  3. Step 3: Cross multiply
    275,723.29x = 413,598.50 × 76,039.25
  4. Step 4: Simplify right side
    275,723.29x = 31,449,719,360.93
  5. Step 5: Solve for x
    x = 31,449,719,360.93/275,723.29
  6. Step 6: Final answer
    x = 114,062.62

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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.