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Finding the Fourth Proportional to 233,950.68, 322,883.82 and 143,311.68

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Solution

The fourth proportional to 233,950.68, 322,883.82 and 143,311.68 is: 197,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,950.68 : 322,883.82 = 143,311.68 : x
  2. Step 2: Convert to fraction form
    233,950.68/322,883.82 = 143,311.68/x
  3. Step 3: Cross multiply
    233,950.68x = 322,883.82 × 143,311.68
  4. Step 4: Simplify right side
    233,950.68x = 46,273,022,689.02
  5. Step 5: Solve for x
    x = 46,273,022,689.02/233,950.68
  6. Step 6: Final answer
    x = 197,789.65

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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.