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Finding the Fourth Proportional to 221,825.31, 332,733.10 and 61,896.98

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Solution

The fourth proportional to 221,825.31, 332,733.10 and 61,896.98 is: 92,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,825.31 : 332,733.10 = 61,896.98 : x
  2. Step 2: Convert to fraction form
    221,825.31/332,733.10 = 61,896.98/x
  3. Step 3: Cross multiply
    221,825.31x = 332,733.10 × 61,896.98
  4. Step 4: Simplify right side
    221,825.31x = 20,595,174,036.04
  5. Step 5: Solve for x
    x = 20,595,174,036.04/221,825.31
  6. Step 6: Final answer
    x = 92,844.11

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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.