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Finding the Fourth Proportional to 271,048.80, 406,411.20 and 165,943.20

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Solution

The fourth proportional to 271,048.80, 406,411.20 and 165,943.20 is: 248,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048.80 : 406,411.20 = 165,943.20 : x
  2. Step 2: Convert to fraction form
    271,048.80/406,411.20 = 165,943.20/x
  3. Step 3: Cross multiply
    271,048.80x = 406,411.20 × 165,943.20
  4. Step 4: Simplify right side
    271,048.80x = 67,441,175,043.84
  5. Step 5: Solve for x
    x = 67,441,175,043.84/271,048.80
  6. Step 6: Final answer
    x = 248,815.62

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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.