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Finding the Fourth Proportional to 138,431.70, 191,035.80 and 74,769.48

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Solution

The fourth proportional to 138,431.70, 191,035.80 and 74,769.48 is: 103,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,431.70 : 191,035.80 = 74,769.48 : x
  2. Step 2: Convert to fraction form
    138,431.70/191,035.80 = 74,769.48/x
  3. Step 3: Cross multiply
    138,431.70x = 191,035.80 × 74,769.48
  4. Step 4: Simplify right side
    138,431.70x = 14,283,647,427.38
  5. Step 5: Solve for x
    x = 14,283,647,427.38/138,431.70
  6. Step 6: Final answer
    x = 103,181.91

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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.