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Finding the Fourth Proportional to 231,633.68, 319,638.96 and 129,641.72

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Solution

The fourth proportional to 231,633.68, 319,638.96 and 129,641.72 is: 178,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,633.68 : 319,638.96 = 129,641.72 : x
  2. Step 2: Convert to fraction form
    231,633.68/319,638.96 = 129,641.72/x
  3. Step 3: Cross multiply
    231,633.68x = 319,638.96 × 129,641.72
  4. Step 4: Simplify right side
    231,633.68x = 41,438,542,955.22
  5. Step 5: Solve for x
    x = 41,438,542,955.22/231,633.68
  6. Step 6: Final answer
    x = 178,896.89

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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.