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Finding the Fourth Proportional to 146,952.80, 220,137.60 and 80,295.20

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Solution

The fourth proportional to 146,952.80, 220,137.60 and 80,295.20 is: 120,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952.80 : 220,137.60 = 80,295.20 : x
  2. Step 2: Convert to fraction form
    146,952.80/220,137.60 = 80,295.20/x
  3. Step 3: Cross multiply
    146,952.80x = 220,137.60 × 80,295.20
  4. Step 4: Simplify right side
    146,952.80x = 17,675,992,619.52
  5. Step 5: Solve for x
    x = 17,675,992,619.52/146,952.80
  6. Step 6: Final answer
    x = 120,283.47

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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.