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Finding the Fourth Proportional to 214,564.92, 321,847.65 and 74,323.53

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Solution

The fourth proportional to 214,564.92, 321,847.65 and 74,323.53 is: 111,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564.92 : 321,847.65 = 74,323.53 : x
  2. Step 2: Convert to fraction form
    214,564.92/321,847.65 = 74,323.53/x
  3. Step 3: Cross multiply
    214,564.92x = 321,847.65 × 74,323.53
  4. Step 4: Simplify right side
    214,564.92x = 23,920,853,470.20
  5. Step 5: Solve for x
    x = 23,920,853,470.20/214,564.92
  6. Step 6: Final answer
    x = 111,485.39

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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.