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Finding the Fourth Proportional to 122,523.20, 183,541.80 and 107,910.80

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Solution

The fourth proportional to 122,523.20, 183,541.80 and 107,910.80 is: 161,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523.20 : 183,541.80 = 107,910.80 : x
  2. Step 2: Convert to fraction form
    122,523.20/183,541.80 = 107,910.80/x
  3. Step 3: Cross multiply
    122,523.20x = 183,541.80 × 107,910.80
  4. Step 4: Simplify right side
    122,523.20x = 19,806,142,471.44
  5. Step 5: Solve for x
    x = 19,806,142,471.44/122,523.20
  6. Step 6: Final answer
    x = 161,652.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.