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Finding the Fourth Proportional to 221,284.80, 331,927.20 and 182,404.80

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Solution

The fourth proportional to 221,284.80, 331,927.20 and 182,404.80 is: 273,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,284.80 : 331,927.20 = 182,404.80 : x
  2. Step 2: Convert to fraction form
    221,284.80/331,927.20 = 182,404.80/x
  3. Step 3: Cross multiply
    221,284.80x = 331,927.20 × 182,404.80
  4. Step 4: Simplify right side
    221,284.80x = 60,545,114,530.56
  5. Step 5: Solve for x
    x = 60,545,114,530.56/221,284.80
  6. Step 6: Final answer
    x = 273,607.20

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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.