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Finding the Fourth Proportional to 167,251.72, 230,915.46 and 103,657

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Solution

The fourth proportional to 167,251.72, 230,915.46 and 103,657 is: 143,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,251.72 : 230,915.46 = 103,657 : x
  2. Step 2: Convert to fraction form
    167,251.72/230,915.46 = 103,657/x
  3. Step 3: Cross multiply
    167,251.72x = 230,915.46 × 103,657
  4. Step 4: Simplify right side
    167,251.72x = 23,936,003,837.22
  5. Step 5: Solve for x
    x = 23,936,003,837.22/167,251.72
  6. Step 6: Final answer
    x = 143,113.65

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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.