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Finding the Fourth Proportional to 180,393.73, 270,592.41 and 80,558.98

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Solution

The fourth proportional to 180,393.73, 270,592.41 and 80,558.98 is: 120,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,393.73 : 270,592.41 = 80,558.98 : x
  2. Step 2: Convert to fraction form
    180,393.73/270,592.41 = 80,558.98/x
  3. Step 3: Cross multiply
    180,393.73x = 270,592.41 × 80,558.98
  4. Step 4: Simplify right side
    180,393.73x = 21,798,648,545.34
  5. Step 5: Solve for x
    x = 21,798,648,545.34/180,393.73
  6. Step 6: Final answer
    x = 120,839.28

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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.