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Finding the Fourth Proportional to 221,764.80, 332,574.30 and 81,505.20

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Solution

The fourth proportional to 221,764.80, 332,574.30 and 81,505.20 is: 122,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,764.80 : 332,574.30 = 81,505.20 : x
  2. Step 2: Convert to fraction form
    221,764.80/332,574.30 = 81,505.20/x
  3. Step 3: Cross multiply
    221,764.80x = 332,574.30 × 81,505.20
  4. Step 4: Simplify right side
    221,764.80x = 27,106,534,836.36
  5. Step 5: Solve for x
    x = 27,106,534,836.36/221,764.80
  6. Step 6: Final answer
    x = 122,231.01

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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.