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Finding the Fourth Proportional to 214,050.24, 295,375.68 and 123,401.52

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Solution

The fourth proportional to 214,050.24, 295,375.68 and 123,401.52 is: 170,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,050.24 : 295,375.68 = 123,401.52 : x
  2. Step 2: Convert to fraction form
    214,050.24/295,375.68 = 123,401.52/x
  3. Step 3: Cross multiply
    214,050.24x = 295,375.68 × 123,401.52
  4. Step 4: Simplify right side
    214,050.24x = 36,449,807,883.03
  5. Step 5: Solve for x
    x = 36,449,807,883.03/214,050.24
  6. Step 6: Final answer
    x = 170,286.23

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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.