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Finding the Fourth Proportional to 204,046.20, 305,850.60 and 77,637.60

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Solution

The fourth proportional to 204,046.20, 305,850.60 and 77,637.60 is: 116,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046.20 : 305,850.60 = 77,637.60 : x
  2. Step 2: Convert to fraction form
    204,046.20/305,850.60 = 77,637.60/x
  3. Step 3: Cross multiply
    204,046.20x = 305,850.60 × 77,637.60
  4. Step 4: Simplify right side
    204,046.20x = 23,745,506,542.56
  5. Step 5: Solve for x
    x = 23,745,506,542.56/204,046.20
  6. Step 6: Final answer
    x = 116,373.19

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Why These Related Problems?

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