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Finding the Fourth Proportional to 541,082.99, 811,616.24 and 186,100.08

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Solution

The fourth proportional to 541,082.99, 811,616.24 and 186,100.08 is: 279,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,082.99 : 811,616.24 = 186,100.08 : x
  2. Step 2: Convert to fraction form
    541,082.99/811,616.24 = 186,100.08/x
  3. Step 3: Cross multiply
    541,082.99x = 811,616.24 × 186,100.08
  4. Step 4: Simplify right side
    541,082.99x = 151,041,846,262.80
  5. Step 5: Solve for x
    x = 151,041,846,262.80/541,082.99
  6. Step 6: Final answer
    x = 279,147.29

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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.