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Finding the Fourth Proportional to 265,002.59, 397,506.26 and 75,462.80

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Solution

The fourth proportional to 265,002.59, 397,506.26 and 75,462.80 is: 113,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,002.59 : 397,506.26 = 75,462.80 : x
  2. Step 2: Convert to fraction form
    265,002.59/397,506.26 = 75,462.80/x
  3. Step 3: Cross multiply
    265,002.59x = 397,506.26 × 75,462.80
  4. Step 4: Simplify right side
    265,002.59x = 29,996,933,598.25
  5. Step 5: Solve for x
    x = 29,996,933,598.25/265,002.59
  6. Step 6: Final answer
    x = 113,194.87

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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.