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Finding the Fourth Proportional to 151,951.38, 209,692.11 and 83,973.09

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Solution

The fourth proportional to 151,951.38, 209,692.11 and 83,973.09 is: 115,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.38 : 209,692.11 = 83,973.09 : x
  2. Step 2: Convert to fraction form
    151,951.38/209,692.11 = 83,973.09/x
  3. Step 3: Cross multiply
    151,951.38x = 209,692.11 × 83,973.09
  4. Step 4: Simplify right side
    151,951.38x = 17,608,494,425.32
  5. Step 5: Solve for x
    x = 17,608,494,425.32/151,951.38
  6. Step 6: Final answer
    x = 115,882.43

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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.