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Finding the Fourth Proportional to 204,637.92, 307,000.80 and 115,933.92

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Solution

The fourth proportional to 204,637.92, 307,000.80 and 115,933.92 is: 173,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,637.92 : 307,000.80 = 115,933.92 : x
  2. Step 2: Convert to fraction form
    204,637.92/307,000.80 = 115,933.92/x
  3. Step 3: Cross multiply
    204,637.92x = 307,000.80 × 115,933.92
  4. Step 4: Simplify right side
    204,637.92x = 35,591,806,187.14
  5. Step 5: Solve for x
    x = 35,591,806,187.14/204,637.92
  6. Step 6: Final answer
    x = 173,925.76

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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.