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Finding the Fourth Proportional to 299,704.96, 449,624.40 and 112,718.08

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Solution

The fourth proportional to 299,704.96, 449,624.40 and 112,718.08 is: 169,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704.96 : 449,624.40 = 112,718.08 : x
  2. Step 2: Convert to fraction form
    299,704.96/449,624.40 = 112,718.08/x
  3. Step 3: Cross multiply
    299,704.96x = 449,624.40 × 112,718.08
  4. Step 4: Simplify right side
    299,704.96x = 50,680,799,089.15
  5. Step 5: Solve for x
    x = 50,680,799,089.15/299,704.96
  6. Step 6: Final answer
    x = 169,102.30

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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.