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Finding the Fourth Proportional to 251,825.73, 377,766.26 and 83,284.66

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Solution

The fourth proportional to 251,825.73, 377,766.26 and 83,284.66 is: 124,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,825.73 : 377,766.26 = 83,284.66 : x
  2. Step 2: Convert to fraction form
    251,825.73/377,766.26 = 83,284.66/x
  3. Step 3: Cross multiply
    251,825.73x = 377,766.26 × 83,284.66
  4. Step 4: Simplify right side
    251,825.73x = 31,462,134,523.57
  5. Step 5: Solve for x
    x = 31,462,134,523.57/251,825.73
  6. Step 6: Final answer
    x = 124,936.14

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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.