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Finding the Fourth Proportional to 133,721.88, 200,596.14 and 49,504.56

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Solution

The fourth proportional to 133,721.88, 200,596.14 and 49,504.56 is: 74,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,721.88 : 200,596.14 = 49,504.56 : x
  2. Step 2: Convert to fraction form
    133,721.88/200,596.14 = 49,504.56/x
  3. Step 3: Cross multiply
    133,721.88x = 200,596.14 × 49,504.56
  4. Step 4: Simplify right side
    133,721.88x = 9,930,423,648.40
  5. Step 5: Solve for x
    x = 9,930,423,648.40/133,721.88
  6. Step 6: Final answer
    x = 74,261.77

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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.