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Finding the Fourth Proportional to 151,252.88, 226,879.32 and 40,442

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Solution

The fourth proportional to 151,252.88, 226,879.32 and 40,442 is: 60,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,252.88 : 226,879.32 = 40,442 : x
  2. Step 2: Convert to fraction form
    151,252.88/226,879.32 = 40,442/x
  3. Step 3: Cross multiply
    151,252.88x = 226,879.32 × 40,442
  4. Step 4: Simplify right side
    151,252.88x = 9,175,453,459.44
  5. Step 5: Solve for x
    x = 9,175,453,459.44/151,252.88
  6. Step 6: Final answer
    x = 60,663

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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.