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Finding the Fourth Proportional to 101,815.44, 152,727.96 and 84,013.08

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Solution

The fourth proportional to 101,815.44, 152,727.96 and 84,013.08 is: 126,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,815.44 : 152,727.96 = 84,013.08 : x
  2. Step 2: Convert to fraction form
    101,815.44/152,727.96 = 84,013.08/x
  3. Step 3: Cross multiply
    101,815.44x = 152,727.96 × 84,013.08
  4. Step 4: Simplify right side
    101,815.44x = 12,831,146,321.72
  5. Step 5: Solve for x
    x = 12,831,146,321.72/101,815.44
  6. Step 6: Final answer
    x = 126,023.58

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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.