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Finding the Fourth Proportional to 180,706.60, 271,073.22 and 47,585.94

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Solution

The fourth proportional to 180,706.60, 271,073.22 and 47,585.94 is: 71,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706.60 : 271,073.22 = 47,585.94 : x
  2. Step 2: Convert to fraction form
    180,706.60/271,073.22 = 47,585.94/x
  3. Step 3: Cross multiply
    180,706.60x = 271,073.22 × 47,585.94
  4. Step 4: Simplify right side
    180,706.60x = 12,899,273,982.53
  5. Step 5: Solve for x
    x = 12,899,273,982.53/180,706.60
  6. Step 6: Final answer
    x = 71,382.42

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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.