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Finding the Fourth Proportional to 269,123.44, 403,732.68 and 111,263.44

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Solution

The fourth proportional to 269,123.44, 403,732.68 and 111,263.44 is: 166,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,123.44 : 403,732.68 = 111,263.44 : x
  2. Step 2: Convert to fraction form
    269,123.44/403,732.68 = 111,263.44/x
  3. Step 3: Cross multiply
    269,123.44x = 403,732.68 × 111,263.44
  4. Step 4: Simplify right side
    269,123.44x = 44,920,686,817.22
  5. Step 5: Solve for x
    x = 44,920,686,817.22/269,123.44
  6. Step 6: Final answer
    x = 166,914.81

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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.