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Finding the Fourth Proportional to 213,520.50, 294,663.24 and 138,200.22

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Solution

The fourth proportional to 213,520.50, 294,663.24 and 138,200.22 is: 190,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,520.50 : 294,663.24 = 138,200.22 : x
  2. Step 2: Convert to fraction form
    213,520.50/294,663.24 = 138,200.22/x
  3. Step 3: Cross multiply
    213,520.50x = 294,663.24 × 138,200.22
  4. Step 4: Simplify right side
    213,520.50x = 40,722,524,593.91
  5. Step 5: Solve for x
    x = 40,722,524,593.91/213,520.50
  6. Step 6: Final answer
    x = 190,719.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.