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Finding the Fourth Proportional to 275,952.76, 413,854.98 and 76,226.20

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Solution

The fourth proportional to 275,952.76, 413,854.98 and 76,226.20 is: 114,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952.76 : 413,854.98 = 76,226.20 : x
  2. Step 2: Convert to fraction form
    275,952.76/413,854.98 = 76,226.20/x
  3. Step 3: Cross multiply
    275,952.76x = 413,854.98 × 76,226.20
  4. Step 4: Simplify right side
    275,952.76x = 31,546,592,476.48
  5. Step 5: Solve for x
    x = 31,546,592,476.48/275,952.76
  6. Step 6: Final answer
    x = 114,318.81

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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.