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Finding the Fourth Proportional to 187,083.80, 280,736.42 and 68,838.18

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Solution

The fourth proportional to 187,083.80, 280,736.42 and 68,838.18 is: 103,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,083.80 : 280,736.42 = 68,838.18 : x
  2. Step 2: Convert to fraction form
    187,083.80/280,736.42 = 68,838.18/x
  3. Step 3: Cross multiply
    187,083.80x = 280,736.42 × 68,838.18
  4. Step 4: Simplify right side
    187,083.80x = 19,325,384,212.52
  5. Step 5: Solve for x
    x = 19,325,384,212.52/187,083.80
  6. Step 6: Final answer
    x = 103,298.01

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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.