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Finding the Fourth Proportional to 231,706.78, 319,760.22 and 131,104.78

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Solution

The fourth proportional to 231,706.78, 319,760.22 and 131,104.78 is: 180,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,706.78 : 319,760.22 = 131,104.78 : x
  2. Step 2: Convert to fraction form
    231,706.78/319,760.22 = 131,104.78/x
  3. Step 3: Cross multiply
    231,706.78x = 319,760.22 × 131,104.78
  4. Step 4: Simplify right side
    231,706.78x = 41,922,093,295.85
  5. Step 5: Solve for x
    x = 41,922,093,295.85/231,706.78
  6. Step 6: Final answer
    x = 180,927.35

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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.