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Finding the Fourth Proportional to 184,857.92, 255,102.47 and 99,974.98

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Solution

The fourth proportional to 184,857.92, 255,102.47 and 99,974.98 is: 137,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,857.92 : 255,102.47 = 99,974.98 : x
  2. Step 2: Convert to fraction form
    184,857.92/255,102.47 = 99,974.98/x
  3. Step 3: Cross multiply
    184,857.92x = 255,102.47 × 99,974.98
  4. Step 4: Simplify right side
    184,857.92x = 25,503,864,336.20
  5. Step 5: Solve for x
    x = 25,503,864,336.20/184,857.92
  6. Step 6: Final answer
    x = 137,964.68

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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.