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Finding the Fourth Proportional to 271,575.12, 407,356.47 and 159,963.33

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Solution

The fourth proportional to 271,575.12, 407,356.47 and 159,963.33 is: 239,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,575.12 : 407,356.47 = 159,963.33 : x
  2. Step 2: Convert to fraction form
    271,575.12/407,356.47 = 159,963.33/x
  3. Step 3: Cross multiply
    271,575.12x = 407,356.47 × 159,963.33
  4. Step 4: Simplify right side
    271,575.12x = 65,162,097,438.25
  5. Step 5: Solve for x
    x = 65,162,097,438.25/271,575.12
  6. Step 6: Final answer
    x = 239,941.34

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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.