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Finding the Fourth Proportional to 300,092.80, 414,111.36 and 164,099.68

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Solution

The fourth proportional to 300,092.80, 414,111.36 and 164,099.68 is: 226,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,092.80 : 414,111.36 = 164,099.68 : x
  2. Step 2: Convert to fraction form
    300,092.80/414,111.36 = 164,099.68/x
  3. Step 3: Cross multiply
    300,092.80x = 414,111.36 × 164,099.68
  4. Step 4: Simplify right side
    300,092.80x = 67,955,541,660.36
  5. Step 5: Solve for x
    x = 67,955,541,660.36/300,092.80
  6. Step 6: Final answer
    x = 226,448.42

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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.