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Finding the Fourth Proportional to 133,834.68, 200,752.02 and 55,015.20

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Solution

The fourth proportional to 133,834.68, 200,752.02 and 55,015.20 is: 82,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,834.68 : 200,752.02 = 55,015.20 : x
  2. Step 2: Convert to fraction form
    133,834.68/200,752.02 = 55,015.20/x
  3. Step 3: Cross multiply
    133,834.68x = 200,752.02 × 55,015.20
  4. Step 4: Simplify right side
    133,834.68x = 11,044,412,530.70
  5. Step 5: Solve for x
    x = 11,044,412,530.70/133,834.68
  6. Step 6: Final answer
    x = 82,522.80

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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.