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Finding the Fourth Proportional to 202,042.14, 278,799.12 and 117,150

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Solution

The fourth proportional to 202,042.14, 278,799.12 and 117,150 is: 161,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042.14 : 278,799.12 = 117,150 : x
  2. Step 2: Convert to fraction form
    202,042.14/278,799.12 = 117,150/x
  3. Step 3: Cross multiply
    202,042.14x = 278,799.12 × 117,150
  4. Step 4: Simplify right side
    202,042.14x = 32,661,316,908
  5. Step 5: Solve for x
    x = 32,661,316,908/202,042.14
  6. Step 6: Final answer
    x = 161,655.96

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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.