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Finding the Fourth Proportional to 209,232.70, 313,546.14 and 144,250.41

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Solution

The fourth proportional to 209,232.70, 313,546.14 and 144,250.41 is: 216,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,232.70 : 313,546.14 = 144,250.41 : x
  2. Step 2: Convert to fraction form
    209,232.70/313,546.14 = 144,250.41/x
  3. Step 3: Cross multiply
    209,232.70x = 313,546.14 × 144,250.41
  4. Step 4: Simplify right side
    209,232.70x = 45,229,159,248.92
  5. Step 5: Solve for x
    x = 45,229,159,248.92/209,232.70
  6. Step 6: Final answer
    x = 216,166.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.