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Finding the Fourth Proportional to 277,299.92, 415,984.44 and 108,825.68

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Solution

The fourth proportional to 277,299.92, 415,984.44 and 108,825.68 is: 163,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,299.92 : 415,984.44 = 108,825.68 : x
  2. Step 2: Convert to fraction form
    277,299.92/415,984.44 = 108,825.68/x
  3. Step 3: Cross multiply
    277,299.92x = 415,984.44 × 108,825.68
  4. Step 4: Simplify right side
    277,299.92x = 45,269,789,552.42
  5. Step 5: Solve for x
    x = 45,269,789,552.42/277,299.92
  6. Step 6: Final answer
    x = 163,252.08

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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.