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Finding the Fourth Proportional to 171,390.72, 256,638.72 and 137,928

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Solution

The fourth proportional to 171,390.72, 256,638.72 and 137,928 is: 206,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,390.72 : 256,638.72 = 137,928 : x
  2. Step 2: Convert to fraction form
    171,390.72/256,638.72 = 137,928/x
  3. Step 3: Cross multiply
    171,390.72x = 256,638.72 × 137,928
  4. Step 4: Simplify right side
    171,390.72x = 35,397,665,372.16
  5. Step 5: Solve for x
    x = 35,397,665,372.16/171,390.72
  6. Step 6: Final answer
    x = 206,531.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.