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Finding the Fourth Proportional to 100,415.31, 138,469.74 and 70,189.56

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Solution

The fourth proportional to 100,415.31, 138,469.74 and 70,189.56 is: 96,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.31 : 138,469.74 = 70,189.56 : x
  2. Step 2: Convert to fraction form
    100,415.31/138,469.74 = 70,189.56/x
  3. Step 3: Cross multiply
    100,415.31x = 138,469.74 × 70,189.56
  4. Step 4: Simplify right side
    100,415.31x = 9,719,130,123.91
  5. Step 5: Solve for x
    x = 9,719,130,123.91/100,415.31
  6. Step 6: Final answer
    x = 96,789.33

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