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Finding the Fourth Proportional to 102,759.99, 154,123.17 and 36,184.47

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Solution

The fourth proportional to 102,759.99, 154,123.17 and 36,184.47 is: 54,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,759.99 : 154,123.17 = 36,184.47 : x
  2. Step 2: Convert to fraction form
    102,759.99/154,123.17 = 36,184.47/x
  3. Step 3: Cross multiply
    102,759.99x = 154,123.17 × 36,184.47
  4. Step 4: Simplify right side
    102,759.99x = 5,576,865,221.17
  5. Step 5: Solve for x
    x = 5,576,865,221.17/102,759.99
  6. Step 6: Final answer
    x = 54,270.78

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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.