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Finding the Fourth Proportional to 158,165.73, 218,268.95 and 86,546.27

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Solution

The fourth proportional to 158,165.73, 218,268.95 and 86,546.27 is: 119,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,165.73 : 218,268.95 = 86,546.27 : x
  2. Step 2: Convert to fraction form
    158,165.73/218,268.95 = 86,546.27/x
  3. Step 3: Cross multiply
    158,165.73x = 218,268.95 × 86,546.27
  4. Step 4: Simplify right side
    158,165.73x = 18,890,363,592.26
  5. Step 5: Solve for x
    x = 18,890,363,592.26/158,165.73
  6. Step 6: Final answer
    x = 119,433.99

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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.