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Finding the Fourth Proportional to 222,540.46, 333,863.20 and 72,780.16

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Solution

The fourth proportional to 222,540.46, 333,863.20 and 72,780.16 is: 109,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.46 : 333,863.20 = 72,780.16 : x
  2. Step 2: Convert to fraction form
    222,540.46/333,863.20 = 72,780.16/x
  3. Step 3: Cross multiply
    222,540.46x = 333,863.20 × 72,780.16
  4. Step 4: Simplify right side
    222,540.46x = 24,298,617,114.11
  5. Step 5: Solve for x
    x = 24,298,617,114.11/222,540.46
  6. Step 6: Final answer
    x = 109,187.41

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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.