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Finding the Fourth Proportional to 113,843.14, 170,725.83 and 71,697.22

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Solution

The fourth proportional to 113,843.14, 170,725.83 and 71,697.22 is: 107,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,843.14 : 170,725.83 = 71,697.22 : x
  2. Step 2: Convert to fraction form
    113,843.14/170,725.83 = 71,697.22/x
  3. Step 3: Cross multiply
    113,843.14x = 170,725.83 × 71,697.22
  4. Step 4: Simplify right side
    113,843.14x = 12,240,567,393.19
  5. Step 5: Solve for x
    x = 12,240,567,393.19/113,843.14
  6. Step 6: Final answer
    x = 107,521.34

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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.