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Finding the Fourth Proportional to 300,155.62, 414,209.32 and 164,188.38

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Solution

The fourth proportional to 300,155.62, 414,209.32 and 164,188.38 is: 226,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,155.62 : 414,209.32 = 164,188.38 : x
  2. Step 2: Convert to fraction form
    300,155.62/414,209.32 = 164,188.38/x
  3. Step 3: Cross multiply
    300,155.62x = 414,209.32 × 164,188.38
  4. Step 4: Simplify right side
    300,155.62x = 68,008,356,821.23
  5. Step 5: Solve for x
    x = 68,008,356,821.23/300,155.62
  6. Step 6: Final answer
    x = 226,576.99

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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.