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Finding the Fourth Proportional to 202,041.14, 278,797.74 and 117,149

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Solution

The fourth proportional to 202,041.14, 278,797.74 and 117,149 is: 161,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,041.14 : 278,797.74 = 117,149 : x
  2. Step 2: Convert to fraction form
    202,041.14/278,797.74 = 117,149/x
  3. Step 3: Cross multiply
    202,041.14x = 278,797.74 × 117,149
  4. Step 4: Simplify right side
    202,041.14x = 32,660,876,443.26
  5. Step 5: Solve for x
    x = 32,660,876,443.26/202,041.14
  6. Step 6: Final answer
    x = 161,654.58

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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.