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Finding the Fourth Proportional to 122,523.70, 183,542.55 and 107,911.30

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Solution

The fourth proportional to 122,523.70, 183,542.55 and 107,911.30 is: 161,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523.70 : 183,542.55 = 107,911.30 : x
  2. Step 2: Convert to fraction form
    122,523.70/183,542.55 = 107,911.30/x
  3. Step 3: Cross multiply
    122,523.70x = 183,542.55 × 107,911.30
  4. Step 4: Simplify right side
    122,523.70x = 19,806,315,175.82
  5. Step 5: Solve for x
    x = 19,806,315,175.82/122,523.70
  6. Step 6: Final answer
    x = 161,652.93

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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.