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Finding the Fourth Proportional to 221,088.42, 331,632.63 and 54,876.42

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Solution

The fourth proportional to 221,088.42, 331,632.63 and 54,876.42 is: 82,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,088.42 : 331,632.63 = 54,876.42 : x
  2. Step 2: Convert to fraction form
    221,088.42/331,632.63 = 54,876.42/x
  3. Step 3: Cross multiply
    221,088.42x = 331,632.63 × 54,876.42
  4. Step 4: Simplify right side
    221,088.42x = 18,198,811,489.58
  5. Step 5: Solve for x
    x = 18,198,811,489.58/221,088.42
  6. Step 6: Final answer
    x = 82,314.63

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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.