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Finding the Fourth Proportional to 202,057.26, 278,784.32 and 114,841.14

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Solution

The fourth proportional to 202,057.26, 278,784.32 and 114,841.14 is: 158,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,057.26 : 278,784.32 = 114,841.14 : x
  2. Step 2: Convert to fraction form
    202,057.26/278,784.32 = 114,841.14/x
  3. Step 3: Cross multiply
    202,057.26x = 278,784.32 × 114,841.14
  4. Step 4: Simplify right side
    202,057.26x = 32,015,909,122.92
  5. Step 5: Solve for x
    x = 32,015,909,122.92/202,057.26
  6. Step 6: Final answer
    x = 158,449.68

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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.