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Finding the Fourth Proportional to 277,837.80, 416,142.30 and 111,540.20

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Solution

The fourth proportional to 277,837.80, 416,142.30 and 111,540.20 is: 167,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,837.80 : 416,142.30 = 111,540.20 : x
  2. Step 2: Convert to fraction form
    277,837.80/416,142.30 = 111,540.20/x
  3. Step 3: Cross multiply
    277,837.80x = 416,142.30 × 111,540.20
  4. Step 4: Simplify right side
    277,837.80x = 46,416,595,370.46
  5. Step 5: Solve for x
    x = 46,416,595,370.46/277,837.80
  6. Step 6: Final answer
    x = 167,063.64

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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.