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Finding the Fourth Proportional to 214,057.26, 321,089.06 and 101,749.04

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Solution

The fourth proportional to 214,057.26, 321,089.06 and 101,749.04 is: 152,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,057.26 : 321,089.06 = 101,749.04 : x
  2. Step 2: Convert to fraction form
    214,057.26/321,089.06 = 101,749.04/x
  3. Step 3: Cross multiply
    214,057.26x = 321,089.06 × 101,749.04
  4. Step 4: Simplify right side
    214,057.26x = 32,670,503,609.50
  5. Step 5: Solve for x
    x = 32,670,503,609.50/214,057.26
  6. Step 6: Final answer
    x = 152,625.07

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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.