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Finding the Fourth Proportional to 300,096.27, 414,126.99 and 164,129.77

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Solution

The fourth proportional to 300,096.27, 414,126.99 and 164,129.77 is: 226,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,096.27 : 414,126.99 = 164,129.77 : x
  2. Step 2: Convert to fraction form
    300,096.27/414,126.99 = 164,129.77/x
  3. Step 3: Cross multiply
    300,096.27x = 414,126.99 × 164,129.77
  4. Step 4: Simplify right side
    300,096.27x = 67,970,567,619.49
  5. Step 5: Solve for x
    x = 67,970,567,619.49/300,096.27
  6. Step 6: Final answer
    x = 226,495.88

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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.