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Finding the Fourth Proportional to 204,003.20, 305,918.40 and 98,854.40

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Solution

The fourth proportional to 204,003.20, 305,918.40 and 98,854.40 is: 148,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003.20 : 305,918.40 = 98,854.40 : x
  2. Step 2: Convert to fraction form
    204,003.20/305,918.40 = 98,854.40/x
  3. Step 3: Cross multiply
    204,003.20x = 305,918.40 × 98,854.40
  4. Step 4: Simplify right side
    204,003.20x = 30,241,379,880.96
  5. Step 5: Solve for x
    x = 30,241,379,880.96/204,003.20
  6. Step 6: Final answer
    x = 148,239.73

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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.