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Finding the Fourth Proportional to 150,644.39, 208,164.33 and 109,737.32

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Solution

The fourth proportional to 150,644.39, 208,164.33 and 109,737.32 is: 151,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,644.39 : 208,164.33 = 109,737.32 : x
  2. Step 2: Convert to fraction form
    150,644.39/208,164.33 = 109,737.32/x
  3. Step 3: Cross multiply
    150,644.39x = 208,164.33 × 109,737.32
  4. Step 4: Simplify right side
    150,644.39x = 22,843,394,652.97
  5. Step 5: Solve for x
    x = 22,843,394,652.97/150,644.39
  6. Step 6: Final answer
    x = 151,637.88

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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.