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Finding the Fourth Proportional to 251,843.13, 377,764.70 and 83,318.31

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Solution

The fourth proportional to 251,843.13, 377,764.70 and 83,318.31 is: 124,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,843.13 : 377,764.70 = 83,318.31 : x
  2. Step 2: Convert to fraction form
    251,843.13/377,764.70 = 83,318.31/x
  3. Step 3: Cross multiply
    251,843.13x = 377,764.70 × 83,318.31
  4. Step 4: Simplify right side
    251,843.13x = 31,474,715,965.07
  5. Step 5: Solve for x
    x = 31,474,715,965.07/251,843.13
  6. Step 6: Final answer
    x = 124,977.47

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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.