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Finding the Fourth Proportional to 204,793.60, 307,233.60 and 64,566.40

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Solution

The fourth proportional to 204,793.60, 307,233.60 and 64,566.40 is: 96,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,793.60 : 307,233.60 = 64,566.40 : x
  2. Step 2: Convert to fraction form
    204,793.60/307,233.60 = 64,566.40/x
  3. Step 3: Cross multiply
    204,793.60x = 307,233.60 × 64,566.40
  4. Step 4: Simplify right side
    204,793.60x = 19,836,967,511.04
  5. Step 5: Solve for x
    x = 19,836,967,511.04/204,793.60
  6. Step 6: Final answer
    x = 96,863.22

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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.