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Finding the Fourth Proportional to 111,858.30, 167,813.71 and 36,978.44

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Solution

The fourth proportional to 111,858.30, 167,813.71 and 36,978.44 is: 55,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,858.30 : 167,813.71 = 36,978.44 : x
  2. Step 2: Convert to fraction form
    111,858.30/167,813.71 = 36,978.44/x
  3. Step 3: Cross multiply
    111,858.30x = 167,813.71 × 36,978.44
  4. Step 4: Simplify right side
    111,858.30x = 6,205,488,274.90
  5. Step 5: Solve for x
    x = 6,205,488,274.90/111,858.30
  6. Step 6: Final answer
    x = 55,476.33

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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.