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Finding the Fourth Proportional to 271,828.60, 407,742.90 and 84,815.80

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Solution

The fourth proportional to 271,828.60, 407,742.90 and 84,815.80 is: 127,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,828.60 : 407,742.90 = 84,815.80 : x
  2. Step 2: Convert to fraction form
    271,828.60/407,742.90 = 84,815.80/x
  3. Step 3: Cross multiply
    271,828.60x = 407,742.90 × 84,815.80
  4. Step 4: Simplify right side
    271,828.60x = 34,583,040,257.82
  5. Step 5: Solve for x
    x = 34,583,040,257.82/271,828.60
  6. Step 6: Final answer
    x = 127,223.70

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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.