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Finding the Fourth Proportional to 277,914.08, 416,996.88 and 109,388

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Solution

The fourth proportional to 277,914.08, 416,996.88 and 109,388 is: 164,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,914.08 : 416,996.88 = 109,388 : x
  2. Step 2: Convert to fraction form
    277,914.08/416,996.88 = 109,388/x
  3. Step 3: Cross multiply
    277,914.08x = 416,996.88 × 109,388
  4. Step 4: Simplify right side
    277,914.08x = 45,614,454,709.44
  5. Step 5: Solve for x
    x = 45,614,454,709.44/277,914.08
  6. Step 6: Final answer
    x = 164,131.50

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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.