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Finding the Fourth Proportional to 271,098.64, 406,466.52 and 104,692.24

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Solution

The fourth proportional to 271,098.64, 406,466.52 and 104,692.24 is: 156,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,098.64 : 406,466.52 = 104,692.24 : x
  2. Step 2: Convert to fraction form
    271,098.64/406,466.52 = 104,692.24/x
  3. Step 3: Cross multiply
    271,098.64x = 406,466.52 × 104,692.24
  4. Step 4: Simplify right side
    271,098.64x = 42,553,890,463.80
  5. Step 5: Solve for x
    x = 42,553,890,463.80/271,098.64
  6. Step 6: Final answer
    x = 156,968.29

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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.