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Finding the Fourth Proportional to 213,837, 294,755.10 and 168,443.12

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Solution

The fourth proportional to 213,837, 294,755.10 and 168,443.12 is: 232,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,837 : 294,755.10 = 168,443.12 : x
  2. Step 2: Convert to fraction form
    213,837/294,755.10 = 168,443.12/x
  3. Step 3: Cross multiply
    213,837x = 294,755.10 × 168,443.12
  4. Step 4: Simplify right side
    213,837x = 49,649,468,679.91
  5. Step 5: Solve for x
    x = 49,649,468,679.91/213,837
  6. Step 6: Final answer
    x = 232,183.71

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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.