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Finding the Fourth Proportional to 300,104.88, 414,129.24 and 164,112.36

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Solution

The fourth proportional to 300,104.88, 414,129.24 and 164,112.36 is: 226,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,104.88 : 414,129.24 = 164,112.36 : x
  2. Step 2: Convert to fraction form
    300,104.88/414,129.24 = 164,112.36/x
  3. Step 3: Cross multiply
    300,104.88x = 414,129.24 × 164,112.36
  4. Step 4: Simplify right side
    300,104.88x = 67,963,726,921.41
  5. Step 5: Solve for x
    x = 67,963,726,921.41/300,104.88
  6. Step 6: Final answer
    x = 226,466.58

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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.