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Finding the Fourth Proportional to 277,213.54, 415,865.18 and 108,642.46

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Solution

The fourth proportional to 277,213.54, 415,865.18 and 108,642.46 is: 162,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,213.54 : 415,865.18 = 108,642.46 : x
  2. Step 2: Convert to fraction form
    277,213.54/415,865.18 = 108,642.46/x
  3. Step 3: Cross multiply
    277,213.54x = 415,865.18 × 108,642.46
  4. Step 4: Simplify right side
    277,213.54x = 45,180,616,183.54
  5. Step 5: Solve for x
    x = 45,180,616,183.54/277,213.54
  6. Step 6: Final answer
    x = 162,981.27

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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.