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Finding the Fourth Proportional to 158,546.28, 218,793.80 and 86,924.78

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Solution

The fourth proportional to 158,546.28, 218,793.80 and 86,924.78 is: 119,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,546.28 : 218,793.80 = 86,924.78 : x
  2. Step 2: Convert to fraction form
    158,546.28/218,793.80 = 86,924.78/x
  3. Step 3: Cross multiply
    158,546.28x = 218,793.80 × 86,924.78
  4. Step 4: Simplify right side
    158,546.28x = 19,018,602,930.36
  5. Step 5: Solve for x
    x = 19,018,602,930.36/158,546.28
  6. Step 6: Final answer
    x = 119,956.16

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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.