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Finding the Fourth Proportional to 263,000.16, 394,591.86 and 83,113.11

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Solution

The fourth proportional to 263,000.16, 394,591.86 and 83,113.11 is: 124,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,000.16 : 394,591.86 = 83,113.11 : x
  2. Step 2: Convert to fraction form
    263,000.16/394,591.86 = 83,113.11/x
  3. Step 3: Cross multiply
    263,000.16x = 394,591.86 × 83,113.11
  4. Step 4: Simplify right side
    263,000.16x = 32,795,756,665.28
  5. Step 5: Solve for x
    x = 32,795,756,665.28/263,000.16
  6. Step 6: Final answer
    x = 124,698.62

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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.