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Finding the Fourth Proportional to 214,626.54, 321,742.71 and 74,287.02

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Solution

The fourth proportional to 214,626.54, 321,742.71 and 74,287.02 is: 111,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626.54 : 321,742.71 = 74,287.02 : x
  2. Step 2: Convert to fraction form
    214,626.54/321,742.71 = 74,287.02/x
  3. Step 3: Cross multiply
    214,626.54x = 321,742.71 × 74,287.02
  4. Step 4: Simplify right side
    214,626.54x = 23,901,307,132.62
  5. Step 5: Solve for x
    x = 23,901,307,132.62/214,626.54
  6. Step 6: Final answer
    x = 111,362.31

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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.