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Finding the Fourth Proportional to 299,706.96, 449,627.40 and 112,720.08

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Solution

The fourth proportional to 299,706.96, 449,627.40 and 112,720.08 is: 169,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706.96 : 449,627.40 = 112,720.08 : x
  2. Step 2: Convert to fraction form
    299,706.96/449,627.40 = 112,720.08/x
  3. Step 3: Cross multiply
    299,706.96x = 449,627.40 × 112,720.08
  4. Step 4: Simplify right side
    299,706.96x = 50,682,036,498.19
  5. Step 5: Solve for x
    x = 50,682,036,498.19/299,706.96
  6. Step 6: Final answer
    x = 169,105.30

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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.