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Finding the Fourth Proportional to 271,999.98, 408,069.18 and 159,775.11

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Solution

The fourth proportional to 271,999.98, 408,069.18 and 159,775.11 is: 239,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,999.98 : 408,069.18 = 159,775.11 : x
  2. Step 2: Convert to fraction form
    271,999.98/408,069.18 = 159,775.11/x
  3. Step 3: Cross multiply
    271,999.98x = 408,069.18 × 159,775.11
  4. Step 4: Simplify right side
    271,999.98x = 65,199,298,122.11
  5. Step 5: Solve for x
    x = 65,199,298,122.11/271,999.98
  6. Step 6: Final answer
    x = 239,703.32

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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.