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Finding the Fourth Proportional to 201,902.40, 278,613.81 and 115,843.14

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Solution

The fourth proportional to 201,902.40, 278,613.81 and 115,843.14 is: 159,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.40 : 278,613.81 = 115,843.14 : x
  2. Step 2: Convert to fraction form
    201,902.40/278,613.81 = 115,843.14/x
  3. Step 3: Cross multiply
    201,902.40x = 278,613.81 × 115,843.14
  4. Step 4: Simplify right side
    201,902.40x = 32,275,498,597.76
  5. Step 5: Solve for x
    x = 32,275,498,597.76/201,902.40
  6. Step 6: Final answer
    x = 159,856.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.