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Finding the Fourth Proportional to 204,691.76, 307,048.56 and 64,461.32

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Solution

The fourth proportional to 204,691.76, 307,048.56 and 64,461.32 is: 96,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,691.76 : 307,048.56 = 64,461.32 : x
  2. Step 2: Convert to fraction form
    204,691.76/307,048.56 = 64,461.32/x
  3. Step 3: Cross multiply
    204,691.76x = 307,048.56 × 64,461.32
  4. Step 4: Simplify right side
    204,691.76x = 19,792,755,481.70
  5. Step 5: Solve for x
    x = 19,792,755,481.70/204,691.76
  6. Step 6: Final answer
    x = 96,695.42

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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.