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Finding the Fourth Proportional to 180,706.10, 271,072.47 and 47,585.44

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Solution

The fourth proportional to 180,706.10, 271,072.47 and 47,585.44 is: 71,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706.10 : 271,072.47 = 47,585.44 : x
  2. Step 2: Convert to fraction form
    180,706.10/271,072.47 = 47,585.44/x
  3. Step 3: Cross multiply
    180,706.10x = 271,072.47 × 47,585.44
  4. Step 4: Simplify right side
    180,706.10x = 12,899,102,079.16
  5. Step 5: Solve for x
    x = 12,899,102,079.16/180,706.10
  6. Step 6: Final answer
    x = 71,381.66

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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.