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Finding the Fourth Proportional to 208,843.82, 288,204.75 and 113,350.49

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Solution

The fourth proportional to 208,843.82, 288,204.75 and 113,350.49 is: 156,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.82 : 288,204.75 = 113,350.49 : x
  2. Step 2: Convert to fraction form
    208,843.82/288,204.75 = 113,350.49/x
  3. Step 3: Cross multiply
    208,843.82x = 288,204.75 × 113,350.49
  4. Step 4: Simplify right side
    208,843.82x = 32,668,149,272.57
  5. Step 5: Solve for x
    x = 32,668,149,272.57/208,843.82
  6. Step 6: Final answer
    x = 156,423.83

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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.