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Finding the Fourth Proportional to 224,138.56, 309,311.33 and 127,342.59

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Solution

The fourth proportional to 224,138.56, 309,311.33 and 127,342.59 is: 175,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,138.56 : 309,311.33 = 127,342.59 : x
  2. Step 2: Convert to fraction form
    224,138.56/309,311.33 = 127,342.59/x
  3. Step 3: Cross multiply
    224,138.56x = 309,311.33 × 127,342.59
  4. Step 4: Simplify right side
    224,138.56x = 39,388,504,798.22
  5. Step 5: Solve for x
    x = 39,388,504,798.22/224,138.56
  6. Step 6: Final answer
    x = 175,732.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.