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Finding the Fourth Proportional to 204,816.20, 307,224.30 and 133,957.40

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Solution

The fourth proportional to 204,816.20, 307,224.30 and 133,957.40 is: 200,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.20 : 307,224.30 = 133,957.40 : x
  2. Step 2: Convert to fraction form
    204,816.20/307,224.30 = 133,957.40/x
  3. Step 3: Cross multiply
    204,816.20x = 307,224.30 × 133,957.40
  4. Step 4: Simplify right side
    204,816.20x = 41,154,968,444.82
  5. Step 5: Solve for x
    x = 41,154,968,444.82/204,816.20
  6. Step 6: Final answer
    x = 200,936.10

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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.