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Finding the Fourth Proportional to 271,908.60, 407,862.90 and 159,642.60

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Solution

The fourth proportional to 271,908.60, 407,862.90 and 159,642.60 is: 239,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908.60 : 407,862.90 = 159,642.60 : x
  2. Step 2: Convert to fraction form
    271,908.60/407,862.90 = 159,642.60/x
  3. Step 3: Cross multiply
    271,908.60x = 407,862.90 × 159,642.60
  4. Step 4: Simplify right side
    271,908.60x = 65,112,293,799.54
  5. Step 5: Solve for x
    x = 65,112,293,799.54/271,908.60
  6. Step 6: Final answer
    x = 239,463.90

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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.