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Finding the Fourth Proportional to 180,200.90, 270,436 and 67,991.78

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Solution

The fourth proportional to 180,200.90, 270,436 and 67,991.78 is: 102,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.90 : 270,436 = 67,991.78 : x
  2. Step 2: Convert to fraction form
    180,200.90/270,436 = 67,991.78/x
  3. Step 3: Cross multiply
    180,200.90x = 270,436 × 67,991.78
  4. Step 4: Simplify right side
    180,200.90x = 18,387,425,016.08
  5. Step 5: Solve for x
    x = 18,387,425,016.08/180,200.90
  6. Step 6: Final answer
    x = 102,038.47

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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.