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Finding the Fourth Proportional to 107,789.80, 161,684.70 and 106,040.20

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Solution

The fourth proportional to 107,789.80, 161,684.70 and 106,040.20 is: 159,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,789.80 : 161,684.70 = 106,040.20 : x
  2. Step 2: Convert to fraction form
    107,789.80/161,684.70 = 106,040.20/x
  3. Step 3: Cross multiply
    107,789.80x = 161,684.70 × 106,040.20
  4. Step 4: Simplify right side
    107,789.80x = 17,145,077,924.94
  5. Step 5: Solve for x
    x = 17,145,077,924.94/107,789.80
  6. Step 6: Final answer
    x = 159,060.30

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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.