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Finding the Fourth Proportional to 233,839.29, 322,624.65 and 143,100.66

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Solution

The fourth proportional to 233,839.29, 322,624.65 and 143,100.66 is: 197,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,839.29 : 322,624.65 = 143,100.66 : x
  2. Step 2: Convert to fraction form
    233,839.29/322,624.65 = 143,100.66/x
  3. Step 3: Cross multiply
    233,839.29x = 322,624.65 × 143,100.66
  4. Step 4: Simplify right side
    233,839.29x = 46,167,800,347.27
  5. Step 5: Solve for x
    x = 46,167,800,347.27/233,839.29
  6. Step 6: Final answer
    x = 197,433.89

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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.