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Finding the Fourth Proportional to 158,198.58, 218,311.12 and 86,577.16

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Solution

The fourth proportional to 158,198.58, 218,311.12 and 86,577.16 is: 119,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,198.58 : 218,311.12 = 86,577.16 : x
  2. Step 2: Convert to fraction form
    158,198.58/218,311.12 = 86,577.16/x
  3. Step 3: Cross multiply
    158,198.58x = 218,311.12 × 86,577.16
  4. Step 4: Simplify right side
    158,198.58x = 18,900,756,766.02
  5. Step 5: Solve for x
    x = 18,900,756,766.02/158,198.58
  6. Step 6: Final answer
    x = 119,474.88

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1.5x scale

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.