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Finding the Fourth Proportional to 275,473.20, 413,136.90 and 85,933.20

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Solution

The fourth proportional to 275,473.20, 413,136.90 and 85,933.20 is: 128,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,473.20 : 413,136.90 = 85,933.20 : x
  2. Step 2: Convert to fraction form
    275,473.20/413,136.90 = 85,933.20/x
  3. Step 3: Cross multiply
    275,473.20x = 413,136.90 × 85,933.20
  4. Step 4: Simplify right side
    275,473.20x = 35,502,175,855.08
  5. Step 5: Solve for x
    x = 35,502,175,855.08/275,473.20
  6. Step 6: Final answer
    x = 128,877.06

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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.