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Finding the Fourth Proportional to 272,760.40, 409,140.60 and 154,662.40

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Solution

The fourth proportional to 272,760.40, 409,140.60 and 154,662.40 is: 231,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,760.40 : 409,140.60 = 154,662.40 : x
  2. Step 2: Convert to fraction form
    272,760.40/409,140.60 = 154,662.40/x
  3. Step 3: Cross multiply
    272,760.40x = 409,140.60 × 154,662.40
  4. Step 4: Simplify right side
    272,760.40x = 63,278,667,133.44
  5. Step 5: Solve for x
    x = 63,278,667,133.44/272,760.40
  6. Step 6: Final answer
    x = 231,993.60

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Why These Related Problems?

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