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Finding the Fourth Proportional to 265,251.17, 397,889.96 and 75,739.66

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Solution

The fourth proportional to 265,251.17, 397,889.96 and 75,739.66 is: 113,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,251.17 : 397,889.96 = 75,739.66 : x
  2. Step 2: Convert to fraction form
    265,251.17/397,889.96 = 75,739.66/x
  3. Step 3: Cross multiply
    265,251.17x = 397,889.96 × 75,739.66
  4. Step 4: Simplify right side
    265,251.17x = 30,136,048,914.39
  5. Step 5: Solve for x
    x = 30,136,048,914.39/265,251.17
  6. Step 6: Final answer
    x = 113,613.25

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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.