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Finding the Fourth Proportional to 100,164.22, 138,221.37 and 54,833.52

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Solution

The fourth proportional to 100,164.22, 138,221.37 and 54,833.52 is: 75,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.22 : 138,221.37 = 54,833.52 : x
  2. Step 2: Convert to fraction form
    100,164.22/138,221.37 = 54,833.52/x
  3. Step 3: Cross multiply
    100,164.22x = 138,221.37 × 54,833.52
  4. Step 4: Simplify right side
    100,164.22x = 7,579,164,256.32
  5. Step 5: Solve for x
    x = 7,579,164,256.32/100,164.22
  6. Step 6: Final answer
    x = 75,667.38

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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.