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Finding the Fourth Proportional to 234,983.74, 352,359.92 and 85,201.64

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Solution

The fourth proportional to 234,983.74, 352,359.92 and 85,201.64 is: 127,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,983.74 : 352,359.92 = 85,201.64 : x
  2. Step 2: Convert to fraction form
    234,983.74/352,359.92 = 85,201.64/x
  3. Step 3: Cross multiply
    234,983.74x = 352,359.92 × 85,201.64
  4. Step 4: Simplify right side
    234,983.74x = 30,021,643,054.27
  5. Step 5: Solve for x
    x = 30,021,643,054.27/234,983.74
  6. Step 6: Final answer
    x = 127,760.51

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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.