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Finding the Fourth Proportional to 147,632.80, 221,481.60 and 47,797.60

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Solution

The fourth proportional to 147,632.80, 221,481.60 and 47,797.60 is: 71,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,632.80 : 221,481.60 = 47,797.60 : x
  2. Step 2: Convert to fraction form
    147,632.80/221,481.60 = 47,797.60/x
  3. Step 3: Cross multiply
    147,632.80x = 221,481.60 × 47,797.60
  4. Step 4: Simplify right side
    147,632.80x = 10,586,288,924.16
  5. Step 5: Solve for x
    x = 10,586,288,924.16/147,632.80
  6. Step 6: Final answer
    x = 71,706.89

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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.