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Finding the Fourth Proportional to 222,170.26, 306,275.97 and 158,397.38

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Solution

The fourth proportional to 222,170.26, 306,275.97 and 158,397.38 is: 218,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,170.26 : 306,275.97 = 158,397.38 : x
  2. Step 2: Convert to fraction form
    222,170.26/306,275.97 = 158,397.38/x
  3. Step 3: Cross multiply
    222,170.26x = 306,275.97 × 158,397.38
  4. Step 4: Simplify right side
    222,170.26x = 48,513,311,204.96
  5. Step 5: Solve for x
    x = 48,513,311,204.96/222,170.26
  6. Step 6: Final answer
    x = 218,360.96

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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.