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Finding the Fourth Proportional to 125,213.97, 187,842.83 and 55,091.46

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Solution

The fourth proportional to 125,213.97, 187,842.83 and 55,091.46 is: 82,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,213.97 : 187,842.83 = 55,091.46 : x
  2. Step 2: Convert to fraction form
    125,213.97/187,842.83 = 55,091.46/x
  3. Step 3: Cross multiply
    125,213.97x = 187,842.83 × 55,091.46
  4. Step 4: Simplify right side
    125,213.97x = 10,348,535,810.82
  5. Step 5: Solve for x
    x = 10,348,535,810.82/125,213.97
  6. Step 6: Final answer
    x = 82,646.81

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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.