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Finding the Fourth Proportional to 275,624.72, 413,363.06 and 75,897.56

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Solution

The fourth proportional to 275,624.72, 413,363.06 and 75,897.56 is: 113,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,624.72 : 413,363.06 = 75,897.56 : x
  2. Step 2: Convert to fraction form
    275,624.72/413,363.06 = 75,897.56/x
  3. Step 3: Cross multiply
    275,624.72x = 413,363.06 × 75,897.56
  4. Step 4: Simplify right side
    275,624.72x = 31,373,247,648.13
  5. Step 5: Solve for x
    x = 31,373,247,648.13/275,624.72
  6. Step 6: Final answer
    x = 113,825.96

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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.