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Finding the Fourth Proportional to 265,252.17, 397,891.46 and 75,740.66

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Solution

The fourth proportional to 265,252.17, 397,891.46 and 75,740.66 is: 113,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,252.17 : 397,891.46 = 75,740.66 : x
  2. Step 2: Convert to fraction form
    265,252.17/397,891.46 = 75,740.66/x
  3. Step 3: Cross multiply
    265,252.17x = 397,891.46 × 75,740.66
  4. Step 4: Simplify right side
    265,252.17x = 30,136,561,788.76
  5. Step 5: Solve for x
    x = 30,136,561,788.76/265,252.17
  6. Step 6: Final answer
    x = 113,614.76

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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.