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Finding the Fourth Proportional to 223,591.86, 335,384.82 and 55,114.20

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Solution

The fourth proportional to 223,591.86, 335,384.82 and 55,114.20 is: 82,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,591.86 : 335,384.82 = 55,114.20 : x
  2. Step 2: Convert to fraction form
    223,591.86/335,384.82 = 55,114.20/x
  3. Step 3: Cross multiply
    223,591.86x = 335,384.82 × 55,114.20
  4. Step 4: Simplify right side
    223,591.86x = 18,484,466,046.44
  5. Step 5: Solve for x
    x = 18,484,466,046.44/223,591.86
  6. Step 6: Final answer
    x = 82,670.57

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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.