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Finding the Fourth Proportional to 133,780.70, 200,675.28 and 49,561.94

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Solution

The fourth proportional to 133,780.70, 200,675.28 and 49,561.94 is: 74,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.70 : 200,675.28 = 49,561.94 : x
  2. Step 2: Convert to fraction form
    133,780.70/200,675.28 = 49,561.94/x
  3. Step 3: Cross multiply
    133,780.70x = 200,675.28 × 49,561.94
  4. Step 4: Simplify right side
    133,780.70x = 9,945,856,186.84
  5. Step 5: Solve for x
    x = 9,945,856,186.84/133,780.70
  6. Step 6: Final answer
    x = 74,344.48

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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.