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Finding the Fourth Proportional to 180,706.87, 271,308.57 and 92,019.97

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Solution

The fourth proportional to 180,706.87, 271,308.57 and 92,019.97 is: 138,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706.87 : 271,308.57 = 92,019.97 : x
  2. Step 2: Convert to fraction form
    180,706.87/271,308.57 = 92,019.97/x
  3. Step 3: Cross multiply
    180,706.87x = 271,308.57 × 92,019.97
  4. Step 4: Simplify right side
    180,706.87x = 24,965,806,472.14
  5. Step 5: Solve for x
    x = 24,965,806,472.14/180,706.87
  6. Step 6: Final answer
    x = 138,156.38

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Why These Related Problems?

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