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Finding the Fourth Proportional to 275,706.64, 413,560.14 and 88,718.14

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Solution

The fourth proportional to 275,706.64, 413,560.14 and 88,718.14 is: 133,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,706.64 : 413,560.14 = 88,718.14 : x
  2. Step 2: Convert to fraction form
    275,706.64/413,560.14 = 88,718.14/x
  3. Step 3: Cross multiply
    275,706.64x = 413,560.14 × 88,718.14
  4. Step 4: Simplify right side
    275,706.64x = 36,690,286,398.94
  5. Step 5: Solve for x
    x = 36,690,286,398.94/275,706.64
  6. Step 6: Final answer
    x = 133,077.27

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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.