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Finding the Fourth Proportional to 227,833.38, 314,410.07 and 127,231.38

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Solution

The fourth proportional to 227,833.38, 314,410.07 and 127,231.38 is: 175,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,833.38 : 314,410.07 = 127,231.38 : x
  2. Step 2: Convert to fraction form
    227,833.38/314,410.07 = 127,231.38/x
  3. Step 3: Cross multiply
    227,833.38x = 314,410.07 × 127,231.38
  4. Step 4: Simplify right side
    227,833.38x = 40,002,827,757.60
  5. Step 5: Solve for x
    x = 40,002,827,757.60/227,833.38
  6. Step 6: Final answer
    x = 175,579.31

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Why These Related Problems?

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