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Finding the Fourth Proportional to 184,794.92, 255,016.77 and 99,911.78

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Solution

The fourth proportional to 184,794.92, 255,016.77 and 99,911.78 is: 137,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,794.92 : 255,016.77 = 99,911.78 : x
  2. Step 2: Convert to fraction form
    184,794.92/255,016.77 = 99,911.78/x
  3. Step 3: Cross multiply
    184,794.92x = 255,016.77 × 99,911.78
  4. Step 4: Simplify right side
    184,794.92x = 25,479,179,289.11
  5. Step 5: Solve for x
    x = 25,479,179,289.11/184,794.92
  6. Step 6: Final answer
    x = 137,878.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.