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Finding the Fourth Proportional to 268,817.42, 370,965.18 and 147,956.12

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Solution

The fourth proportional to 268,817.42, 370,965.18 and 147,956.12 is: 204,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,817.42 : 370,965.18 = 147,956.12 : x
  2. Step 2: Convert to fraction form
    268,817.42/370,965.18 = 147,956.12/x
  3. Step 3: Cross multiply
    268,817.42x = 370,965.18 × 147,956.12
  4. Step 4: Simplify right side
    268,817.42x = 54,886,568,687.90
  5. Step 5: Solve for x
    x = 54,886,568,687.90/268,817.42
  6. Step 6: Final answer
    x = 204,177.87

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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.