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Finding the Fourth Proportional to 221,782.32, 332,805.24 and 81,639.36

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Solution

The fourth proportional to 221,782.32, 332,805.24 and 81,639.36 is: 122,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,782.32 : 332,805.24 = 81,639.36 : x
  2. Step 2: Convert to fraction form
    221,782.32/332,805.24 = 81,639.36/x
  3. Step 3: Cross multiply
    221,782.32x = 332,805.24 × 81,639.36
  4. Step 4: Simplify right side
    221,782.32x = 27,170,006,798.25
  5. Step 5: Solve for x
    x = 27,170,006,798.25/221,782.32
  6. Step 6: Final answer
    x = 122,507.54

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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.