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Finding the Fourth Proportional to 232,199.14, 320,138.18 and 150,382.84

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Solution

The fourth proportional to 232,199.14, 320,138.18 and 150,382.84 is: 207,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,199.14 : 320,138.18 = 150,382.84 : x
  2. Step 2: Convert to fraction form
    232,199.14/320,138.18 = 150,382.84/x
  3. Step 3: Cross multiply
    232,199.14x = 320,138.18 × 150,382.84
  4. Step 4: Simplify right side
    232,199.14x = 48,143,287,948.92
  5. Step 5: Solve for x
    x = 48,143,287,948.92/232,199.14
  6. Step 6: Final answer
    x = 207,336.20

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