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Finding the Fourth Proportional to 92,201.28, 127,231.20 and 51,917.28

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Solution

The fourth proportional to 92,201.28, 127,231.20 and 51,917.28 is: 71,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.28 : 127,231.20 = 51,917.28 : x
  2. Step 2: Convert to fraction form
    92,201.28/127,231.20 = 51,917.28/x
  3. Step 3: Cross multiply
    92,201.28x = 127,231.20 × 51,917.28
  4. Step 4: Simplify right side
    92,201.28x = 6,605,497,835.14
  5. Step 5: Solve for x
    x = 6,605,497,835.14/92,201.28
  6. Step 6: Final answer
    x = 71,642.15

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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.