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Finding the Fourth Proportional to 208,524.57, 287,764.11 and 113,031.24

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Solution

The fourth proportional to 208,524.57, 287,764.11 and 113,031.24 is: 155,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.57 : 287,764.11 = 113,031.24 : x
  2. Step 2: Convert to fraction form
    208,524.57/287,764.11 = 113,031.24/x
  3. Step 3: Cross multiply
    208,524.57x = 287,764.11 × 113,031.24
  4. Step 4: Simplify right side
    208,524.57x = 32,526,334,180.80
  5. Step 5: Solve for x
    x = 32,526,334,180.80/208,524.57
  6. Step 6: Final answer
    x = 155,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.