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Finding the Fourth Proportional to 204,822.88, 307,234.32 and 64,592.44

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Solution

The fourth proportional to 204,822.88, 307,234.32 and 64,592.44 is: 96,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,822.88 : 307,234.32 = 64,592.44 : x
  2. Step 2: Convert to fraction form
    204,822.88/307,234.32 = 64,592.44/x
  3. Step 3: Cross multiply
    204,822.88x = 307,234.32 × 64,592.44
  4. Step 4: Simplify right side
    204,822.88x = 19,845,013,370.23
  5. Step 5: Solve for x
    x = 19,845,013,370.23/204,822.88
  6. Step 6: Final answer
    x = 96,888.66

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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.