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Finding the Fourth Proportional to 96,201.77, 144,224.84 and 40,084.11

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Solution

The fourth proportional to 96,201.77, 144,224.84 and 40,084.11 is: 60,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.77 : 144,224.84 = 40,084.11 : x
  2. Step 2: Convert to fraction form
    96,201.77/144,224.84 = 40,084.11/x
  3. Step 3: Cross multiply
    96,201.77x = 144,224.84 × 40,084.11
  4. Step 4: Simplify right side
    96,201.77x = 5,781,124,150.87
  5. Step 5: Solve for x
    x = 5,781,124,150.87/96,201.77
  6. Step 6: Final answer
    x = 60,093.74

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