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Finding the Fourth Proportional to 213,641.72, 320,182.26 and 157,217.72

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Solution

The fourth proportional to 213,641.72, 320,182.26 and 157,217.72 is: 235,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,641.72 : 320,182.26 = 157,217.72 : x
  2. Step 2: Convert to fraction form
    213,641.72/320,182.26 = 157,217.72/x
  3. Step 3: Cross multiply
    213,641.72x = 320,182.26 × 157,217.72
  4. Step 4: Simplify right side
    213,641.72x = 50,338,324,901.65
  5. Step 5: Solve for x
    x = 50,338,324,901.65/213,641.72
  6. Step 6: Final answer
    x = 235,620.29

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