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Finding the Fourth Proportional to 300,043.82, 414,060.45 and 164,077.86

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Solution

The fourth proportional to 300,043.82, 414,060.45 and 164,077.86 is: 226,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,043.82 : 414,060.45 = 164,077.86 : x
  2. Step 2: Convert to fraction form
    300,043.82/414,060.45 = 164,077.86/x
  3. Step 3: Cross multiply
    300,043.82x = 414,060.45 × 164,077.86
  4. Step 4: Simplify right side
    300,043.82x = 67,938,152,546.64
  5. Step 5: Solve for x
    x = 67,938,152,546.64/300,043.82
  6. Step 6: Final answer
    x = 226,427.43

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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.