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Finding the Fourth Proportional to 154,712.24, 213,496.32 and 87,644.24

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Solution

The fourth proportional to 154,712.24, 213,496.32 and 87,644.24 is: 120,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,712.24 : 213,496.32 = 87,644.24 : x
  2. Step 2: Convert to fraction form
    154,712.24/213,496.32 = 87,644.24/x
  3. Step 3: Cross multiply
    154,712.24x = 213,496.32 × 87,644.24
  4. Step 4: Simplify right side
    154,712.24x = 18,711,722,709.20
  5. Step 5: Solve for x
    x = 18,711,722,709.20/154,712.24
  6. Step 6: Final answer
    x = 120,945.33

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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.