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Finding the Fourth Proportional to 110,965.60, 166,448.40 and 75,536.20

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Solution

The fourth proportional to 110,965.60, 166,448.40 and 75,536.20 is: 113,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965.60 : 166,448.40 = 75,536.20 : x
  2. Step 2: Convert to fraction form
    110,965.60/166,448.40 = 75,536.20/x
  3. Step 3: Cross multiply
    110,965.60x = 166,448.40 × 75,536.20
  4. Step 4: Simplify right side
    110,965.60x = 12,572,879,632.08
  5. Step 5: Solve for x
    x = 12,572,879,632.08/110,965.60
  6. Step 6: Final answer
    x = 113,304.30

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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.