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Finding the Fourth Proportional to 281,062.28, 421,593.96 and 70,698.80

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Solution

The fourth proportional to 281,062.28, 421,593.96 and 70,698.80 is: 106,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,062.28 : 421,593.96 = 70,698.80 : x
  2. Step 2: Convert to fraction form
    281,062.28/421,593.96 = 70,698.80/x
  3. Step 3: Cross multiply
    281,062.28x = 421,593.96 × 70,698.80
  4. Step 4: Simplify right side
    281,062.28x = 29,806,187,059.25
  5. Step 5: Solve for x
    x = 29,806,187,059.25/281,062.28
  6. Step 6: Final answer
    x = 106,048.34

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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.