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Finding the Fourth Proportional to 214,014.86, 295,343.57 and 123,369.18

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Solution

The fourth proportional to 214,014.86, 295,343.57 and 123,369.18 is: 170,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,014.86 : 295,343.57 = 123,369.18 : x
  2. Step 2: Convert to fraction form
    214,014.86/295,343.57 = 123,369.18/x
  3. Step 3: Cross multiply
    214,014.86x = 295,343.57 × 123,369.18
  4. Step 4: Simplify right side
    214,014.86x = 36,436,292,556.11
  5. Step 5: Solve for x
    x = 36,436,292,556.11/214,014.86
  6. Step 6: Final answer
    x = 170,251.23

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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.