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Finding the Fourth Proportional to 125,214.25, 187,843.25 and 55,091.74

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Solution

The fourth proportional to 125,214.25, 187,843.25 and 55,091.74 is: 82,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,214.25 : 187,843.25 = 55,091.74 : x
  2. Step 2: Convert to fraction form
    125,214.25/187,843.25 = 55,091.74/x
  3. Step 3: Cross multiply
    125,214.25x = 187,843.25 × 55,091.74
  4. Step 4: Simplify right side
    125,214.25x = 10,348,611,883.45
  5. Step 5: Solve for x
    x = 10,348,611,883.45/125,214.25
  6. Step 6: Final answer
    x = 82,647.24

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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.