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Finding the Fourth Proportional to 109,751.66, 164,514.49 and 43,164.80

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Solution

The fourth proportional to 109,751.66, 164,514.49 and 43,164.80 is: 64,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,751.66 : 164,514.49 = 43,164.80 : x
  2. Step 2: Convert to fraction form
    109,751.66/164,514.49 = 43,164.80/x
  3. Step 3: Cross multiply
    109,751.66x = 164,514.49 × 43,164.80
  4. Step 4: Simplify right side
    109,751.66x = 7,101,235,057.95
  5. Step 5: Solve for x
    x = 7,101,235,057.95/109,751.66
  6. Step 6: Final answer
    x = 64,702.76

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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.