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Finding the Fourth Proportional to 204,231.70, 306,347.55 and 195,046.30

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Solution

The fourth proportional to 204,231.70, 306,347.55 and 195,046.30 is: 292,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,231.70 : 306,347.55 = 195,046.30 : x
  2. Step 2: Convert to fraction form
    204,231.70/306,347.55 = 195,046.30/x
  3. Step 3: Cross multiply
    204,231.70x = 306,347.55 × 195,046.30
  4. Step 4: Simplify right side
    204,231.70x = 59,751,956,141.57
  5. Step 5: Solve for x
    x = 59,751,956,141.57/204,231.70
  6. Step 6: Final answer
    x = 292,569.45

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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.