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Finding the Fourth Proportional to 300,171.04, 414,218.64 and 164,177.80

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Solution

The fourth proportional to 300,171.04, 414,218.64 and 164,177.80 is: 226,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,171.04 : 414,218.64 = 164,177.80 : x
  2. Step 2: Convert to fraction form
    300,171.04/414,218.64 = 164,177.80/x
  3. Step 3: Cross multiply
    300,171.04x = 414,218.64 × 164,177.80
  4. Step 4: Simplify right side
    300,171.04x = 68,005,505,034.19
  5. Step 5: Solve for x
    x = 68,005,505,034.19/300,171.04
  6. Step 6: Final answer
    x = 226,555.85

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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.