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Finding the Fourth Proportional to 271,548.39, 407,191.05 and 159,265.38

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Solution

The fourth proportional to 271,548.39, 407,191.05 and 159,265.38 is: 238,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,548.39 : 407,191.05 = 159,265.38 : x
  2. Step 2: Convert to fraction form
    271,548.39/407,191.05 = 159,265.38/x
  3. Step 3: Cross multiply
    271,548.39x = 407,191.05 × 159,265.38
  4. Step 4: Simplify right side
    271,548.39x = 64,851,437,310.85
  5. Step 5: Solve for x
    x = 64,851,437,310.85/271,548.39
  6. Step 6: Final answer
    x = 238,820.92

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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.