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Finding the Fourth Proportional to 208,842.26, 288,202.59 and 113,348.97

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Solution

The fourth proportional to 208,842.26, 288,202.59 and 113,348.97 is: 156,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,842.26 : 288,202.59 = 113,348.97 : x
  2. Step 2: Convert to fraction form
    208,842.26/288,202.59 = 113,348.97/x
  3. Step 3: Cross multiply
    208,842.26x = 288,202.59 × 113,348.97
  4. Step 4: Simplify right side
    208,842.26x = 32,667,466,727.83
  5. Step 5: Solve for x
    x = 32,667,466,727.83/208,842.26
  6. Step 6: Final answer
    x = 156,421.73

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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.