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Finding the Fourth Proportional to 137,161.70, 205,721.76 and 37,329.67

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Solution

The fourth proportional to 137,161.70, 205,721.76 and 37,329.67 is: 55,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,161.70 : 205,721.76 = 37,329.67 : x
  2. Step 2: Convert to fraction form
    137,161.70/205,721.76 = 37,329.67/x
  3. Step 3: Cross multiply
    137,161.70x = 205,721.76 × 37,329.67
  4. Step 4: Simplify right side
    137,161.70x = 7,679,526,046.56
  5. Step 5: Solve for x
    x = 7,679,526,046.56/137,161.70
  6. Step 6: Final answer
    x = 55,988.85

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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.