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Finding the Fourth Proportional to 233,645.81, 322,431.21 and 126,215.84

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Solution

The fourth proportional to 233,645.81, 322,431.21 and 126,215.84 is: 174,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,645.81 : 322,431.21 = 126,215.84 : x
  2. Step 2: Convert to fraction form
    233,645.81/322,431.21 = 126,215.84/x
  3. Step 3: Cross multiply
    233,645.81x = 322,431.21 × 126,215.84
  4. Step 4: Simplify right side
    233,645.81x = 40,695,926,818.44
  5. Step 5: Solve for x
    x = 40,695,926,818.44/233,645.81
  6. Step 6: Final answer
    x = 174,177.86

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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.