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Finding the Fourth Proportional to 110,878.32, 166,324.16 and 75,324.58

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Solution

The fourth proportional to 110,878.32, 166,324.16 and 75,324.58 is: 112,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,878.32 : 166,324.16 = 75,324.58 : x
  2. Step 2: Convert to fraction form
    110,878.32/166,324.16 = 75,324.58/x
  3. Step 3: Cross multiply
    110,878.32x = 166,324.16 × 75,324.58
  4. Step 4: Simplify right side
    110,878.32x = 12,528,297,495.85
  5. Step 5: Solve for x
    x = 12,528,297,495.85/110,878.32
  6. Step 6: Final answer
    x = 112,991.41

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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.