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Finding the Fourth Proportional to 133,906.64, 200,859.03 and 34,065.92

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Solution

The fourth proportional to 133,906.64, 200,859.03 and 34,065.92 is: 51,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.64 : 200,859.03 = 34,065.92 : x
  2. Step 2: Convert to fraction form
    133,906.64/200,859.03 = 34,065.92/x
  3. Step 3: Cross multiply
    133,906.64x = 200,859.03 × 34,065.92
  4. Step 4: Simplify right side
    133,906.64x = 6,842,448,149.41
  5. Step 5: Solve for x
    x = 6,842,448,149.41/133,906.64
  6. Step 6: Final answer
    x = 51,098.65

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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.