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Finding the Fourth Proportional to 300,156.48, 414,202.24 and 164,188.48

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Solution

The fourth proportional to 300,156.48, 414,202.24 and 164,188.48 is: 226,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,156.48 : 414,202.24 = 164,188.48 : x
  2. Step 2: Convert to fraction form
    300,156.48/414,202.24 = 164,188.48/x
  3. Step 3: Cross multiply
    300,156.48x = 414,202.24 × 164,188.48
  4. Step 4: Simplify right side
    300,156.48x = 68,007,236,198.20
  5. Step 5: Solve for x
    x = 68,007,236,198.20/300,156.48
  6. Step 6: Final answer
    x = 226,572.61

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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.