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Finding the Fourth Proportional to 214,286.40, 321,775.20 and 161,755.20

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Solution

The fourth proportional to 214,286.40, 321,775.20 and 161,755.20 is: 242,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,286.40 : 321,775.20 = 161,755.20 : x
  2. Step 2: Convert to fraction form
    214,286.40/321,775.20 = 161,755.20/x
  3. Step 3: Cross multiply
    214,286.40x = 321,775.20 × 161,755.20
  4. Step 4: Simplify right side
    214,286.40x = 52,048,811,831.04
  5. Step 5: Solve for x
    x = 52,048,811,831.04/214,286.40
  6. Step 6: Final answer
    x = 242,893.68

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Why These Related Problems?

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