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Finding the Fourth Proportional to 300,133.84, 414,169.24 and 164,141.32

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Solution

The fourth proportional to 300,133.84, 414,169.24 and 164,141.32 is: 226,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,133.84 : 414,169.24 = 164,141.32 : x
  2. Step 2: Convert to fraction form
    300,133.84/414,169.24 = 164,141.32/x
  3. Step 3: Cross multiply
    300,133.84x = 414,169.24 × 164,141.32
  4. Step 4: Simplify right side
    300,133.84x = 67,982,285,757.00
  5. Step 5: Solve for x
    x = 67,982,285,757.00/300,133.84
  6. Step 6: Final answer
    x = 226,506.57

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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.