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Finding the Fourth Proportional to 154,025.20, 231,037.80 and 144,809.20

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Solution

The fourth proportional to 154,025.20, 231,037.80 and 144,809.20 is: 217,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,025.20 : 231,037.80 = 144,809.20 : x
  2. Step 2: Convert to fraction form
    154,025.20/231,037.80 = 144,809.20/x
  3. Step 3: Cross multiply
    154,025.20x = 231,037.80 × 144,809.20
  4. Step 4: Simplify right side
    154,025.20x = 33,456,398,987.76
  5. Step 5: Solve for x
    x = 33,456,398,987.76/154,025.20
  6. Step 6: Final answer
    x = 217,213.80

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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.