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Finding the Fourth Proportional to 300,003.16, 414,017.22 and 164,029

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Solution

The fourth proportional to 300,003.16, 414,017.22 and 164,029 is: 226,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,003.16 : 414,017.22 = 164,029 : x
  2. Step 2: Convert to fraction form
    300,003.16/414,017.22 = 164,029/x
  3. Step 3: Cross multiply
    300,003.16x = 414,017.22 × 164,029
  4. Step 4: Simplify right side
    300,003.16x = 67,910,830,579.38
  5. Step 5: Solve for x
    x = 67,910,830,579.38/300,003.16
  6. Step 6: Final answer
    x = 226,367.05

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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.