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Finding the Fourth Proportional to 233,644.12, 322,428.66 and 126,214.12

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Solution

The fourth proportional to 233,644.12, 322,428.66 and 126,214.12 is: 174,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644.12 : 322,428.66 = 126,214.12 : x
  2. Step 2: Convert to fraction form
    233,644.12/322,428.66 = 126,214.12/x
  3. Step 3: Cross multiply
    233,644.12x = 322,428.66 × 126,214.12
  4. Step 4: Simplify right side
    233,644.12x = 40,695,049,584.68
  5. Step 5: Solve for x
    x = 40,695,049,584.68/233,644.12
  6. Step 6: Final answer
    x = 174,175.36

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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.