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Finding the Fourth Proportional to 221,266.82, 331,900.30 and 55,054.82

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Solution

The fourth proportional to 221,266.82, 331,900.30 and 55,054.82 is: 82,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,266.82 : 331,900.30 = 55,054.82 : x
  2. Step 2: Convert to fraction form
    221,266.82/331,900.30 = 55,054.82/x
  3. Step 3: Cross multiply
    221,266.82x = 331,900.30 × 55,054.82
  4. Step 4: Simplify right side
    221,266.82x = 18,272,711,274.45
  5. Step 5: Solve for x
    x = 18,272,711,274.45/221,266.82
  6. Step 6: Final answer
    x = 82,582.25

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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.