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Finding the Fourth Proportional to 300,182.91, 414,255.68 and 164,213.93

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Solution

The fourth proportional to 300,182.91, 414,255.68 and 164,213.93 is: 226,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,182.91 : 414,255.68 = 164,213.93 : x
  2. Step 2: Convert to fraction form
    300,182.91/414,255.68 = 164,213.93/x
  3. Step 3: Cross multiply
    300,182.91x = 414,255.68 × 164,213.93
  4. Step 4: Simplify right side
    300,182.91x = 68,026,554,298.92
  5. Step 5: Solve for x
    x = 68,026,554,298.92/300,182.91
  6. Step 6: Final answer
    x = 226,617.01

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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.