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Finding the Fourth Proportional to 185,138.08, 277,649.72 and 66,794.04

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Solution

The fourth proportional to 185,138.08, 277,649.72 and 66,794.04 is: 100,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.08 : 277,649.72 = 66,794.04 : x
  2. Step 2: Convert to fraction form
    185,138.08/277,649.72 = 66,794.04/x
  3. Step 3: Cross multiply
    185,138.08x = 277,649.72 × 66,794.04
  4. Step 4: Simplify right side
    185,138.08x = 18,545,346,503.67
  5. Step 5: Solve for x
    x = 18,545,346,503.67/185,138.08
  6. Step 6: Final answer
    x = 100,170.35

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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.