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Finding the Fourth Proportional to 185,764.88, 278,662.08 and 111,392.48

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Solution

The fourth proportional to 185,764.88, 278,662.08 and 111,392.48 is: 167,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,764.88 : 278,662.08 = 111,392.48 : x
  2. Step 2: Convert to fraction form
    185,764.88/278,662.08 = 111,392.48/x
  3. Step 3: Cross multiply
    185,764.88x = 278,662.08 × 111,392.48
  4. Step 4: Simplify right side
    185,764.88x = 31,040,860,173.16
  5. Step 5: Solve for x
    x = 31,040,860,173.16/185,764.88
  6. Step 6: Final answer
    x = 167,097.57

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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.