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Finding the Fourth Proportional to 274,753.74, 412,189.78 and 85,210.26

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Solution

The fourth proportional to 274,753.74, 412,189.78 and 85,210.26 is: 127,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,753.74 : 412,189.78 = 85,210.26 : x
  2. Step 2: Convert to fraction form
    274,753.74/412,189.78 = 85,210.26/x
  3. Step 3: Cross multiply
    274,753.74x = 412,189.78 × 85,210.26
  4. Step 4: Simplify right side
    274,753.74x = 35,122,798,323.14
  5. Step 5: Solve for x
    x = 35,122,798,323.14/274,753.74
  6. Step 6: Final answer
    x = 127,833.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.