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Finding the Fourth Proportional to 204,835.96, 307,253.92 and 64,605.52

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Solution

The fourth proportional to 204,835.96, 307,253.92 and 64,605.52 is: 96,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,835.96 : 307,253.92 = 64,605.52 : x
  2. Step 2: Convert to fraction form
    204,835.96/307,253.92 = 64,605.52/x
  3. Step 3: Cross multiply
    204,835.96x = 307,253.92 × 64,605.52
  4. Step 4: Simplify right side
    204,835.96x = 19,850,299,273.64
  5. Step 5: Solve for x
    x = 19,850,299,273.64/204,835.96
  6. Step 6: Final answer
    x = 96,908.27

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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.