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Finding the Fourth Proportional to 133,121.84, 199,678.92 and 34,625.84

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Solution

The fourth proportional to 133,121.84, 199,678.92 and 34,625.84 is: 51,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,121.84 : 199,678.92 = 34,625.84 : x
  2. Step 2: Convert to fraction form
    133,121.84/199,678.92 = 34,625.84/x
  3. Step 3: Cross multiply
    133,121.84x = 199,678.92 × 34,625.84
  4. Step 4: Simplify right side
    133,121.84x = 6,914,050,335.29
  5. Step 5: Solve for x
    x = 6,914,050,335.29/133,121.84
  6. Step 6: Final answer
    x = 51,937.76

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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.