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Finding the Fourth Proportional to 227,744.64, 341,617.60 and 134,121.60

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Solution

The fourth proportional to 227,744.64, 341,617.60 and 134,121.60 is: 201,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,744.64 : 341,617.60 = 134,121.60 : x
  2. Step 2: Convert to fraction form
    227,744.64/341,617.60 = 134,121.60/x
  3. Step 3: Cross multiply
    227,744.64x = 341,617.60 × 134,121.60
  4. Step 4: Simplify right side
    227,744.64x = 45,818,299,100.16
  5. Step 5: Solve for x
    x = 45,818,299,100.16/227,744.64
  6. Step 6: Final answer
    x = 201,182.78

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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.