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Finding the Fourth Proportional to 227,998.26, 342,041.31 and 94,806.90

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Solution

The fourth proportional to 227,998.26, 342,041.31 and 94,806.90 is: 142,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998.26 : 342,041.31 = 94,806.90 : x
  2. Step 2: Convert to fraction form
    227,998.26/342,041.31 = 94,806.90/x
  3. Step 3: Cross multiply
    227,998.26x = 342,041.31 × 94,806.90
  4. Step 4: Simplify right side
    227,998.26x = 32,427,876,273.04
  5. Step 5: Solve for x
    x = 32,427,876,273.04/227,998.26
  6. Step 6: Final answer
    x = 142,228.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.