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Finding the Fourth Proportional to 204,901.52, 307,352.30 and 159,998.76

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Solution

The fourth proportional to 204,901.52, 307,352.30 and 159,998.76 is: 239,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,901.52 : 307,352.30 = 159,998.76 : x
  2. Step 2: Convert to fraction form
    204,901.52/307,352.30 = 159,998.76/x
  3. Step 3: Cross multiply
    204,901.52x = 307,352.30 × 159,998.76
  4. Step 4: Simplify right side
    204,901.52x = 49,175,986,083.15
  5. Step 5: Solve for x
    x = 49,175,986,083.15/204,901.52
  6. Step 6: Final answer
    x = 239,998.16

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1.5x scale

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.