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Finding the Fourth Proportional to 185,874.64, 278,817.42 and 45,633.26

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Solution

The fourth proportional to 185,874.64, 278,817.42 and 45,633.26 is: 68,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,874.64 : 278,817.42 = 45,633.26 : x
  2. Step 2: Convert to fraction form
    185,874.64/278,817.42 = 45,633.26/x
  3. Step 3: Cross multiply
    185,874.64x = 278,817.42 × 45,633.26
  4. Step 4: Simplify right side
    185,874.64x = 12,723,347,819.39
  5. Step 5: Solve for x
    x = 12,723,347,819.39/185,874.64
  6. Step 6: Final answer
    x = 68,451.23

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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.