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Finding the Fourth Proportional to 275,152.68, 412,659.77 and 106,615.17

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Solution

The fourth proportional to 275,152.68, 412,659.77 and 106,615.17 is: 159,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,152.68 : 412,659.77 = 106,615.17 : x
  2. Step 2: Convert to fraction form
    275,152.68/412,659.77 = 106,615.17/x
  3. Step 3: Cross multiply
    275,152.68x = 412,659.77 × 106,615.17
  4. Step 4: Simplify right side
    275,152.68x = 43,995,790,997.64
  5. Step 5: Solve for x
    x = 43,995,790,997.64/275,152.68
  6. Step 6: Final answer
    x = 159,895.92

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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.