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Finding the Fourth Proportional to 204,098.70, 306,148.05 and 119,899.20

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Solution

The fourth proportional to 204,098.70, 306,148.05 and 119,899.20 is: 179,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,098.70 : 306,148.05 = 119,899.20 : x
  2. Step 2: Convert to fraction form
    204,098.70/306,148.05 = 119,899.20/x
  3. Step 3: Cross multiply
    204,098.70x = 306,148.05 × 119,899.20
  4. Step 4: Simplify right side
    204,098.70x = 36,706,906,276.56
  5. Step 5: Solve for x
    x = 36,706,906,276.56/204,098.70
  6. Step 6: Final answer
    x = 179,848.80

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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.