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Finding the Fourth Proportional to 300,167.45, 414,230.94 and 164,201.36

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Solution

The fourth proportional to 300,167.45, 414,230.94 and 164,201.36 is: 226,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,167.45 : 414,230.94 = 164,201.36 : x
  2. Step 2: Convert to fraction form
    300,167.45/414,230.94 = 164,201.36/x
  3. Step 3: Cross multiply
    300,167.45x = 414,230.94 × 164,201.36
  4. Step 4: Simplify right side
    300,167.45x = 68,017,283,702.08
  5. Step 5: Solve for x
    x = 68,017,283,702.08/300,167.45
  6. Step 6: Final answer
    x = 226,597.80

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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.