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Finding the Fourth Proportional to 232,024.80, 348,037.20 and 198,199.20

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Solution

The fourth proportional to 232,024.80, 348,037.20 and 198,199.20 is: 297,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,024.80 : 348,037.20 = 198,199.20 : x
  2. Step 2: Convert to fraction form
    232,024.80/348,037.20 = 198,199.20/x
  3. Step 3: Cross multiply
    232,024.80x = 348,037.20 × 198,199.20
  4. Step 4: Simplify right side
    232,024.80x = 68,980,694,610.24
  5. Step 5: Solve for x
    x = 68,980,694,610.24/232,024.80
  6. Step 6: Final answer
    x = 297,298.80

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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.