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Finding the Fourth Proportional to 214,101.23, 295,491.14 and 123,439.44

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Solution

The fourth proportional to 214,101.23, 295,491.14 and 123,439.44 is: 170,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.23 : 295,491.14 = 123,439.44 : x
  2. Step 2: Convert to fraction form
    214,101.23/295,491.14 = 123,439.44/x
  3. Step 3: Cross multiply
    214,101.23x = 295,491.14 × 123,439.44
  4. Step 4: Simplify right side
    214,101.23x = 36,475,261,800.35
  5. Step 5: Solve for x
    x = 36,475,261,800.35/214,101.23
  6. Step 6: Final answer
    x = 170,364.56

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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.