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Finding the Fourth Proportional to 111,814.31, 167,722.38 and 40,787.84

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Solution

The fourth proportional to 111,814.31, 167,722.38 and 40,787.84 is: 61,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,814.31 : 167,722.38 = 40,787.84 : x
  2. Step 2: Convert to fraction form
    111,814.31/167,722.38 = 40,787.84/x
  3. Step 3: Cross multiply
    111,814.31x = 167,722.38 × 40,787.84
  4. Step 4: Simplify right side
    111,814.31x = 6,841,033,075.73
  5. Step 5: Solve for x
    x = 6,841,033,075.73/111,814.31
  6. Step 6: Final answer
    x = 61,182.09

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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.