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Finding the Fourth Proportional to 125,867, 188,800.50 and 51,996.92

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Solution

The fourth proportional to 125,867, 188,800.50 and 51,996.92 is: 77,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,867 : 188,800.50 = 51,996.92 : x
  2. Step 2: Convert to fraction form
    125,867/188,800.50 = 51,996.92/x
  3. Step 3: Cross multiply
    125,867x = 188,800.50 × 51,996.92
  4. Step 4: Simplify right side
    125,867x = 9,817,044,494.46
  5. Step 5: Solve for x
    x = 9,817,044,494.46/125,867
  6. Step 6: Final answer
    x = 77,995.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.