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Finding the Fourth Proportional to 277,297.92, 415,981.44 and 108,823.68

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Solution

The fourth proportional to 277,297.92, 415,981.44 and 108,823.68 is: 163,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297.92 : 415,981.44 = 108,823.68 : x
  2. Step 2: Convert to fraction form
    277,297.92/415,981.44 = 108,823.68/x
  3. Step 3: Cross multiply
    277,297.92x = 415,981.44 × 108,823.68
  4. Step 4: Simplify right side
    277,297.92x = 45,268,631,112.50
  5. Step 5: Solve for x
    x = 45,268,631,112.50/277,297.92
  6. Step 6: Final answer
    x = 163,249.08

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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.