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Finding the Fourth Proportional to 180,841.92, 271,175.40 and 62,471.76

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Solution

The fourth proportional to 180,841.92, 271,175.40 and 62,471.76 is: 93,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,841.92 : 271,175.40 = 62,471.76 : x
  2. Step 2: Convert to fraction form
    180,841.92/271,175.40 = 62,471.76/x
  3. Step 3: Cross multiply
    180,841.92x = 271,175.40 × 62,471.76
  4. Step 4: Simplify right side
    180,841.92x = 16,940,804,506.70
  5. Step 5: Solve for x
    x = 16,940,804,506.70/180,841.92
  6. Step 6: Final answer
    x = 93,677.42

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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.