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Finding the Fourth Proportional to 204,002.70, 305,917.65 and 98,853.90

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Solution

The fourth proportional to 204,002.70, 305,917.65 and 98,853.90 is: 148,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.70 : 305,917.65 = 98,853.90 : x
  2. Step 2: Convert to fraction form
    204,002.70/305,917.65 = 98,853.90/x
  3. Step 3: Cross multiply
    204,002.70x = 305,917.65 × 98,853.90
  4. Step 4: Simplify right side
    204,002.70x = 30,241,152,781.34
  5. Step 5: Solve for x
    x = 30,241,152,781.34/204,002.70
  6. Step 6: Final answer
    x = 148,238.98

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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.