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Finding the Fourth Proportional to 146,884.80, 220,359.60 and 47,049.60

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Solution

The fourth proportional to 146,884.80, 220,359.60 and 47,049.60 is: 70,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884.80 : 220,359.60 = 47,049.60 : x
  2. Step 2: Convert to fraction form
    146,884.80/220,359.60 = 47,049.60/x
  3. Step 3: Cross multiply
    146,884.80x = 220,359.60 × 47,049.60
  4. Step 4: Simplify right side
    146,884.80x = 10,367,831,036.16
  5. Step 5: Solve for x
    x = 10,367,831,036.16/146,884.80
  6. Step 6: Final answer
    x = 70,584.78

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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.