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Finding the Fourth Proportional to 271,808.10, 407,712.15 and 165,519.90

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Solution

The fourth proportional to 271,808.10, 407,712.15 and 165,519.90 is: 248,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.10 : 407,712.15 = 165,519.90 : x
  2. Step 2: Convert to fraction form
    271,808.10/407,712.15 = 165,519.90/x
  3. Step 3: Cross multiply
    271,808.10x = 407,712.15 × 165,519.90
  4. Step 4: Simplify right side
    271,808.10x = 67,484,474,296.79
  5. Step 5: Solve for x
    x = 67,484,474,296.79/271,808.10
  6. Step 6: Final answer
    x = 248,279.85

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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.