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Finding the Fourth Proportional to 222,335.38, 306,853.42 and 136,345.78

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Solution

The fourth proportional to 222,335.38, 306,853.42 and 136,345.78 is: 188,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,335.38 : 306,853.42 = 136,345.78 : x
  2. Step 2: Convert to fraction form
    222,335.38/306,853.42 = 136,345.78/x
  3. Step 3: Cross multiply
    222,335.38x = 306,853.42 × 136,345.78
  4. Step 4: Simplify right side
    222,335.38x = 41,838,168,895.57
  5. Step 5: Solve for x
    x = 41,838,168,895.57/222,335.38
  6. Step 6: Final answer
    x = 188,175.94

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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.