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Finding the Fourth Proportional to 271,503.10, 407,449.05 and 113,844.70

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Solution

The fourth proportional to 271,503.10, 407,449.05 and 113,844.70 is: 170,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,503.10 : 407,449.05 = 113,844.70 : x
  2. Step 2: Convert to fraction form
    271,503.10/407,449.05 = 113,844.70/x
  3. Step 3: Cross multiply
    271,503.10x = 407,449.05 × 113,844.70
  4. Step 4: Simplify right side
    271,503.10x = 46,385,914,862.54
  5. Step 5: Solve for x
    x = 46,385,914,862.54/271,503.10
  6. Step 6: Final answer
    x = 170,848.56

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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.