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Finding the Fourth Proportional to 275,404.26, 413,106.40 and 88,546.98

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Solution

The fourth proportional to 275,404.26, 413,106.40 and 88,546.98 is: 132,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,404.26 : 413,106.40 = 88,546.98 : x
  2. Step 2: Convert to fraction form
    275,404.26/413,106.40 = 88,546.98/x
  3. Step 3: Cross multiply
    275,404.26x = 413,106.40 × 88,546.98
  4. Step 4: Simplify right side
    275,404.26x = 36,579,324,138.67
  5. Step 5: Solve for x
    x = 36,579,324,138.67/275,404.26
  6. Step 6: Final answer
    x = 132,820.47

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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.