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Finding the Fourth Proportional to 221,273.76, 331,911.84 and 55,061.76

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Solution

The fourth proportional to 221,273.76, 331,911.84 and 55,061.76 is: 82,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,273.76 : 331,911.84 = 55,061.76 : x
  2. Step 2: Convert to fraction form
    221,273.76/331,911.84 = 55,061.76/x
  3. Step 3: Cross multiply
    221,273.76x = 331,911.84 × 55,061.76
  4. Step 4: Simplify right side
    221,273.76x = 18,275,650,075.24
  5. Step 5: Solve for x
    x = 18,275,650,075.24/221,273.76
  6. Step 6: Final answer
    x = 82,592.94

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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.