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Finding the Fourth Proportional to 185,409.82, 277,949.78 and 67,054.84

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Solution

The fourth proportional to 185,409.82, 277,949.78 and 67,054.84 is: 100,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409.82 : 277,949.78 = 67,054.84 : x
  2. Step 2: Convert to fraction form
    185,409.82/277,949.78 = 67,054.84/x
  3. Step 3: Cross multiply
    185,409.82x = 277,949.78 × 67,054.84
  4. Step 4: Simplify right side
    185,409.82x = 18,637,878,025.94
  5. Step 5: Solve for x
    x = 18,637,878,025.94/185,409.82
  6. Step 6: Final answer
    x = 100,522.61

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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.