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Finding the Fourth Proportional to 133,122.84, 199,680.42 and 34,626.84

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Solution

The fourth proportional to 133,122.84, 199,680.42 and 34,626.84 is: 51,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,122.84 : 199,680.42 = 34,626.84 : x
  2. Step 2: Convert to fraction form
    133,122.84/199,680.42 = 34,626.84/x
  3. Step 3: Cross multiply
    133,122.84x = 199,680.42 × 34,626.84
  4. Step 4: Simplify right side
    133,122.84x = 6,914,301,954.47
  5. Step 5: Solve for x
    x = 6,914,301,954.47/133,122.84
  6. Step 6: Final answer
    x = 51,939.26

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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.