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Finding the Fourth Proportional to 158,193.21, 218,306.61 and 86,573.28

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Solution

The fourth proportional to 158,193.21, 218,306.61 and 86,573.28 is: 119,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,193.21 : 218,306.61 = 86,573.28 : x
  2. Step 2: Convert to fraction form
    158,193.21/218,306.61 = 86,573.28/x
  3. Step 3: Cross multiply
    158,193.21x = 218,306.61 × 86,573.28
  4. Step 4: Simplify right side
    158,193.21x = 18,899,519,273.38
  5. Step 5: Solve for x
    x = 18,899,519,273.38/158,193.21
  6. Step 6: Final answer
    x = 119,471.12

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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.