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Finding the Fourth Proportional to 146,494.80, 219,742.20 and 72,613.20

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Solution

The fourth proportional to 146,494.80, 219,742.20 and 72,613.20 is: 108,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.80 : 219,742.20 = 72,613.20 : x
  2. Step 2: Convert to fraction form
    146,494.80/219,742.20 = 72,613.20/x
  3. Step 3: Cross multiply
    146,494.80x = 219,742.20 × 72,613.20
  4. Step 4: Simplify right side
    146,494.80x = 15,956,184,317.04
  5. Step 5: Solve for x
    x = 15,956,184,317.04/146,494.80
  6. Step 6: Final answer
    x = 108,919.80

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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.