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Finding the Fourth Proportional to 214,142.89, 321,677.84 and 139,224.51

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Solution

The fourth proportional to 214,142.89, 321,677.84 and 139,224.51 is: 209,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,142.89 : 321,677.84 = 139,224.51 : x
  2. Step 2: Convert to fraction form
    214,142.89/321,677.84 = 139,224.51/x
  3. Step 3: Cross multiply
    214,142.89x = 321,677.84 × 139,224.51
  4. Step 4: Simplify right side
    214,142.89x = 44,785,439,651.86
  5. Step 5: Solve for x
    x = 44,785,439,651.86/214,142.89
  6. Step 6: Final answer
    x = 209,138.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.