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Finding the Fourth Proportional to 215,889.29, 323,835.92 and 82,737.84

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Solution

The fourth proportional to 215,889.29, 323,835.92 and 82,737.84 is: 124,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,889.29 : 323,835.92 = 82,737.84 : x
  2. Step 2: Convert to fraction form
    215,889.29/323,835.92 = 82,737.84/x
  3. Step 3: Cross multiply
    215,889.29x = 323,835.92 × 82,737.84
  4. Step 4: Simplify right side
    215,889.29x = 26,793,484,535.21
  5. Step 5: Solve for x
    x = 26,793,484,535.21/215,889.29
  6. Step 6: Final answer
    x = 124,107.52

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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.