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Finding the Fourth Proportional to 180,487.38, 270,596.89 and 109,392.57

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Solution

The fourth proportional to 180,487.38, 270,596.89 and 109,392.57 is: 164,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,487.38 : 270,596.89 = 109,392.57 : x
  2. Step 2: Convert to fraction form
    180,487.38/270,596.89 = 109,392.57/x
  3. Step 3: Cross multiply
    180,487.38x = 270,596.89 × 109,392.57
  4. Step 4: Simplify right side
    180,487.38x = 29,601,288,957.63
  5. Step 5: Solve for x
    x = 29,601,288,957.63/180,487.38
  6. Step 6: Final answer
    x = 164,007.53

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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.