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Finding the Fourth Proportional to 260,738.70, 391,237.65 and 102,972.30

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Solution

The fourth proportional to 260,738.70, 391,237.65 and 102,972.30 is: 154,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,738.70 : 391,237.65 = 102,972.30 : x
  2. Step 2: Convert to fraction form
    260,738.70/391,237.65 = 102,972.30/x
  3. Step 3: Cross multiply
    260,738.70x = 391,237.65 × 102,972.30
  4. Step 4: Simplify right side
    260,738.70x = 40,286,640,667.10
  5. Step 5: Solve for x
    x = 40,286,640,667.10/260,738.70
  6. Step 6: Final answer
    x = 154,509.63

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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.