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Finding the Fourth Proportional to 299,384.30, 449,082.81 and 107,271.24

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Solution

The fourth proportional to 299,384.30, 449,082.81 and 107,271.24 is: 160,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,384.30 : 449,082.81 = 107,271.24 : x
  2. Step 2: Convert to fraction form
    299,384.30/449,082.81 = 107,271.24/x
  3. Step 3: Cross multiply
    299,384.30x = 449,082.81 × 107,271.24
  4. Step 4: Simplify right side
    299,384.30x = 48,173,668,207.32
  5. Step 5: Solve for x
    x = 48,173,668,207.32/299,384.30
  6. Step 6: Final answer
    x = 160,909.13

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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.