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Finding the Fourth Proportional to 101,974.50, 152,945.94 and 52,091.46

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Solution

The fourth proportional to 101,974.50, 152,945.94 and 52,091.46 is: 78,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.50 : 152,945.94 = 52,091.46 : x
  2. Step 2: Convert to fraction form
    101,974.50/152,945.94 = 52,091.46/x
  3. Step 3: Cross multiply
    101,974.50x = 152,945.94 × 52,091.46
  4. Step 4: Simplify right side
    101,974.50x = 7,967,177,315.67
  5. Step 5: Solve for x
    x = 7,967,177,315.67/101,974.50
  6. Step 6: Final answer
    x = 78,129.11

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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.