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Finding the Fourth Proportional to 109,906.33, 164,601.15 and 53,569.90

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Solution

The fourth proportional to 109,906.33, 164,601.15 and 53,569.90 is: 80,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.33 : 164,601.15 = 53,569.90 : x
  2. Step 2: Convert to fraction form
    109,906.33/164,601.15 = 53,569.90/x
  3. Step 3: Cross multiply
    109,906.33x = 164,601.15 × 53,569.90
  4. Step 4: Simplify right side
    109,906.33x = 8,817,667,145.39
  5. Step 5: Solve for x
    x = 8,817,667,145.39/109,906.33
  6. Step 6: Final answer
    x = 80,228.93

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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.