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Finding the Fourth Proportional to 107,219.94, 161,081.22 and 101,160.80

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Solution

The fourth proportional to 107,219.94, 161,081.22 and 101,160.80 is: 151,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,219.94 : 161,081.22 = 101,160.80 : x
  2. Step 2: Convert to fraction form
    107,219.94/161,081.22 = 101,160.80/x
  3. Step 3: Cross multiply
    107,219.94x = 161,081.22 × 101,160.80
  4. Step 4: Simplify right side
    107,219.94x = 16,295,104,481.77
  5. Step 5: Solve for x
    x = 16,295,104,481.77/107,219.94
  6. Step 6: Final answer
    x = 151,978.30

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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.