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Finding the Fourth Proportional to 204,003.70, 305,919.15 and 98,854.90

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Solution

The fourth proportional to 204,003.70, 305,919.15 and 98,854.90 is: 148,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003.70 : 305,919.15 = 98,854.90 : x
  2. Step 2: Convert to fraction form
    204,003.70/305,919.15 = 98,854.90/x
  3. Step 3: Cross multiply
    204,003.70x = 305,919.15 × 98,854.90
  4. Step 4: Simplify right side
    204,003.70x = 30,241,606,981.34
  5. Step 5: Solve for x
    x = 30,241,606,981.34/204,003.70
  6. Step 6: Final answer
    x = 148,240.48

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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.