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Finding the Fourth Proportional to 213,520.37, 320,394.74 and 138,622.91

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Solution

The fourth proportional to 213,520.37, 320,394.74 and 138,622.91 is: 208,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,520.37 : 320,394.74 = 138,622.91 : x
  2. Step 2: Convert to fraction form
    213,520.37/320,394.74 = 138,622.91/x
  3. Step 3: Cross multiply
    213,520.37x = 320,394.74 × 138,622.91
  4. Step 4: Simplify right side
    213,520.37x = 44,414,048,912.41
  5. Step 5: Solve for x
    x = 44,414,048,912.41/213,520.37
  6. Step 6: Final answer
    x = 208,008.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.