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Finding the Fourth Proportional to 300,078.24, 414,102.96 and 165,942.24

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Solution

The fourth proportional to 300,078.24, 414,102.96 and 165,942.24 is: 228,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,078.24 : 414,102.96 = 165,942.24 : x
  2. Step 2: Convert to fraction form
    300,078.24/414,102.96 = 165,942.24/x
  3. Step 3: Cross multiply
    300,078.24x = 414,102.96 × 165,942.24
  4. Step 4: Simplify right side
    300,078.24x = 68,717,172,773.03
  5. Step 5: Solve for x
    x = 68,717,172,773.03/300,078.24
  6. Step 6: Final answer
    x = 228,997.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.