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Finding the Fourth Proportional to 198,612.32, 297,824.64 and 72,164.42

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Solution

The fourth proportional to 198,612.32, 297,824.64 and 72,164.42 is: 108,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,612.32 : 297,824.64 = 72,164.42 : x
  2. Step 2: Convert to fraction form
    198,612.32/297,824.64 = 72,164.42/x
  3. Step 3: Cross multiply
    198,612.32x = 297,824.64 × 72,164.42
  4. Step 4: Simplify right side
    198,612.32x = 21,492,342,407.31
  5. Step 5: Solve for x
    x = 21,492,342,407.31/198,612.32
  6. Step 6: Final answer
    x = 108,212.53

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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.