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Finding the Fourth Proportional to 151,253.88, 226,880.82 and 40,443

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Solution

The fourth proportional to 151,253.88, 226,880.82 and 40,443 is: 60,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,253.88 : 226,880.82 = 40,443 : x
  2. Step 2: Convert to fraction form
    151,253.88/226,880.82 = 40,443/x
  3. Step 3: Cross multiply
    151,253.88x = 226,880.82 × 40,443
  4. Step 4: Simplify right side
    151,253.88x = 9,175,741,003.26
  5. Step 5: Solve for x
    x = 9,175,741,003.26/151,253.88
  6. Step 6: Final answer
    x = 60,664.50

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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.