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Finding the Fourth Proportional to 214,564.68, 321,774.12 and 74,290.50

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Solution

The fourth proportional to 214,564.68, 321,774.12 and 74,290.50 is: 111,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564.68 : 321,774.12 = 74,290.50 : x
  2. Step 2: Convert to fraction form
    214,564.68/321,774.12 = 74,290.50/x
  3. Step 3: Cross multiply
    214,564.68x = 321,774.12 × 74,290.50
  4. Step 4: Simplify right side
    214,564.68x = 23,904,760,261.86
  5. Step 5: Solve for x
    x = 23,904,760,261.86/214,564.68
  6. Step 6: Final answer
    x = 111,410.51

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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.