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Finding the Fourth Proportional to 271,043.52, 406,619.28 and 84,048

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Solution

The fourth proportional to 271,043.52, 406,619.28 and 84,048 is: 126,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,043.52 : 406,619.28 = 84,048 : x
  2. Step 2: Convert to fraction form
    271,043.52/406,619.28 = 84,048/x
  3. Step 3: Cross multiply
    271,043.52x = 406,619.28 × 84,048
  4. Step 4: Simplify right side
    271,043.52x = 34,175,537,245.44
  5. Step 5: Solve for x
    x = 34,175,537,245.44/271,043.52
  6. Step 6: Final answer
    x = 126,088.74

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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.