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Finding the Fourth Proportional to 209,885.97, 314,736.30 and 60,092.27

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Solution

The fourth proportional to 209,885.97, 314,736.30 and 60,092.27 is: 90,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.97 : 314,736.30 = 60,092.27 : x
  2. Step 2: Convert to fraction form
    209,885.97/314,736.30 = 60,092.27/x
  3. Step 3: Cross multiply
    209,885.97x = 314,736.30 × 60,092.27
  4. Step 4: Simplify right side
    209,885.97x = 18,913,217,144.72
  5. Step 5: Solve for x
    x = 18,913,217,144.72/209,885.97
  6. Step 6: Final answer
    x = 90,111.87

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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.