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Finding the Fourth Proportional to 117,494.70, 162,103.23 and 75,078.06

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Solution

The fourth proportional to 117,494.70, 162,103.23 and 75,078.06 is: 103,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,494.70 : 162,103.23 = 75,078.06 : x
  2. Step 2: Convert to fraction form
    117,494.70/162,103.23 = 75,078.06/x
  3. Step 3: Cross multiply
    117,494.70x = 162,103.23 × 75,078.06
  4. Step 4: Simplify right side
    117,494.70x = 12,170,396,028.13
  5. Step 5: Solve for x
    x = 12,170,396,028.13/117,494.70
  6. Step 6: Final answer
    x = 103,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.