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Finding the Fourth Proportional to 252,037.14, 347,819.13 and 144,626.82

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Solution

The fourth proportional to 252,037.14, 347,819.13 and 144,626.82 is: 199,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,037.14 : 347,819.13 = 144,626.82 : x
  2. Step 2: Convert to fraction form
    252,037.14/347,819.13 = 144,626.82/x
  3. Step 3: Cross multiply
    252,037.14x = 347,819.13 × 144,626.82
  4. Step 4: Simplify right side
    252,037.14x = 50,303,974,707.07
  5. Step 5: Solve for x
    x = 50,303,974,707.07/252,037.14
  6. Step 6: Final answer
    x = 199,589.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.