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Finding the Fourth Proportional to 299,751.24, 449,527.50 and 100,016.04

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Solution

The fourth proportional to 299,751.24, 449,527.50 and 100,016.04 is: 149,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,751.24 : 449,527.50 = 100,016.04 : x
  2. Step 2: Convert to fraction form
    299,751.24/449,527.50 = 100,016.04/x
  3. Step 3: Cross multiply
    299,751.24x = 449,527.50 × 100,016.04
  4. Step 4: Simplify right side
    299,751.24x = 44,959,960,421.10
  5. Step 5: Solve for x
    x = 44,959,960,421.10/299,751.24
  6. Step 6: Final answer
    x = 149,990.91

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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.