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Finding the Fourth Proportional to 101,204.60, 151,806.90 and 31,083.80

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Solution

The fourth proportional to 101,204.60, 151,806.90 and 31,083.80 is: 46,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204.60 : 151,806.90 = 31,083.80 : x
  2. Step 2: Convert to fraction form
    101,204.60/151,806.90 = 31,083.80/x
  3. Step 3: Cross multiply
    101,204.60x = 151,806.90 × 31,083.80
  4. Step 4: Simplify right side
    101,204.60x = 4,718,735,318.22
  5. Step 5: Solve for x
    x = 4,718,735,318.22/101,204.60
  6. Step 6: Final answer
    x = 46,625.70

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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.