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Finding the Fourth Proportional to 233,642.67, 322,426.60 and 126,212.68

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Solution

The fourth proportional to 233,642.67, 322,426.60 and 126,212.68 is: 174,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,642.67 : 322,426.60 = 126,212.68 : x
  2. Step 2: Convert to fraction form
    233,642.67/322,426.60 = 126,212.68/x
  3. Step 3: Cross multiply
    233,642.67x = 322,426.60 × 126,212.68
  4. Step 4: Simplify right side
    233,642.67x = 40,694,325,289.29
  5. Step 5: Solve for x
    x = 40,694,325,289.29/233,642.67
  6. Step 6: Final answer
    x = 174,173.34

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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.