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Finding the Fourth Proportional to 164,433.24, 226,879.38 and 96,446.70

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Solution

The fourth proportional to 164,433.24, 226,879.38 and 96,446.70 is: 133,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,433.24 : 226,879.38 = 96,446.70 : x
  2. Step 2: Convert to fraction form
    164,433.24/226,879.38 = 96,446.70/x
  3. Step 3: Cross multiply
    164,433.24x = 226,879.38 × 96,446.70
  4. Step 4: Simplify right side
    164,433.24x = 21,881,767,499.05
  5. Step 5: Solve for x
    x = 21,881,767,499.05/164,433.24
  6. Step 6: Final answer
    x = 133,073.87

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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.