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Finding the Fourth Proportional to 204,575.60, 306,863.40 and 64,377.20

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Solution

The fourth proportional to 204,575.60, 306,863.40 and 64,377.20 is: 96,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,575.60 : 306,863.40 = 64,377.20 : x
  2. Step 2: Convert to fraction form
    204,575.60/306,863.40 = 64,377.20/x
  3. Step 3: Cross multiply
    204,575.60x = 306,863.40 × 64,377.20
  4. Step 4: Simplify right side
    204,575.60x = 19,755,006,474.48
  5. Step 5: Solve for x
    x = 19,755,006,474.48/204,575.60
  6. Step 6: Final answer
    x = 96,565.80

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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.