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Finding the Fourth Proportional to 208,837.44, 288,195.82 and 113,344.11

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Solution

The fourth proportional to 208,837.44, 288,195.82 and 113,344.11 is: 156,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,837.44 : 288,195.82 = 113,344.11 : x
  2. Step 2: Convert to fraction form
    208,837.44/288,195.82 = 113,344.11/x
  3. Step 3: Cross multiply
    208,837.44x = 288,195.82 × 113,344.11
  4. Step 4: Simplify right side
    208,837.44x = 32,665,299,077.82
  5. Step 5: Solve for x
    x = 32,665,299,077.82/208,837.44
  6. Step 6: Final answer
    x = 156,414.96

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1.5x scale

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.