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Finding the Fourth Proportional to 214,614.34, 321,923.32 and 81,458.84

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Solution

The fourth proportional to 214,614.34, 321,923.32 and 81,458.84 is: 122,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614.34 : 321,923.32 = 81,458.84 : x
  2. Step 2: Convert to fraction form
    214,614.34/321,923.32 = 81,458.84/x
  3. Step 3: Cross multiply
    214,614.34x = 321,923.32 × 81,458.84
  4. Step 4: Simplify right side
    214,614.34x = 26,223,500,216.15
  5. Step 5: Solve for x
    x = 26,223,500,216.15/214,614.34
  6. Step 6: Final answer
    x = 122,188.95

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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.