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Finding the Fourth Proportional to 135,471.26, 186,948.24 and 74,216.96

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Solution

The fourth proportional to 135,471.26, 186,948.24 and 74,216.96 is: 102,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471.26 : 186,948.24 = 74,216.96 : x
  2. Step 2: Convert to fraction form
    135,471.26/186,948.24 = 74,216.96/x
  3. Step 3: Cross multiply
    135,471.26x = 186,948.24 × 74,216.96
  4. Step 4: Simplify right side
    135,471.26x = 13,874,730,050.15
  5. Step 5: Solve for x
    x = 13,874,730,050.15/135,471.26
  6. Step 6: Final answer
    x = 102,418.25

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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.