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Finding the Fourth Proportional to 131,072.44, 180,882.54 and 71,456.44

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Solution

The fourth proportional to 131,072.44, 180,882.54 and 71,456.44 is: 98,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,072.44 : 180,882.54 = 71,456.44 : x
  2. Step 2: Convert to fraction form
    131,072.44/180,882.54 = 71,456.44/x
  3. Step 3: Cross multiply
    131,072.44x = 180,882.54 × 71,456.44
  4. Step 4: Simplify right side
    131,072.44x = 12,925,222,366.56
  5. Step 5: Solve for x
    x = 12,925,222,366.56/131,072.44
  6. Step 6: Final answer
    x = 98,611.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.