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Finding the Fourth Proportional to 204,031.20, 306,046.80 and 63,789.60

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Solution

The fourth proportional to 204,031.20, 306,046.80 and 63,789.60 is: 95,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,031.20 : 306,046.80 = 63,789.60 : x
  2. Step 2: Convert to fraction form
    204,031.20/306,046.80 = 63,789.60/x
  3. Step 3: Cross multiply
    204,031.20x = 306,046.80 × 63,789.60
  4. Step 4: Simplify right side
    204,031.20x = 19,522,602,953.28
  5. Step 5: Solve for x
    x = 19,522,602,953.28/204,031.20
  6. Step 6: Final answer
    x = 95,684.40

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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.