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Finding the Fourth Proportional to 523,082.20, 784,623.30 and 168,132.10

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Solution

The fourth proportional to 523,082.20, 784,623.30 and 168,132.10 is: 252,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,082.20 : 784,623.30 = 168,132.10 : x
  2. Step 2: Convert to fraction form
    523,082.20/784,623.30 = 168,132.10/x
  3. Step 3: Cross multiply
    523,082.20x = 784,623.30 × 168,132.10
  4. Step 4: Simplify right side
    523,082.20x = 131,920,363,137.93
  5. Step 5: Solve for x
    x = 131,920,363,137.93/523,082.20
  6. Step 6: Final answer
    x = 252,198.15

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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.