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Finding the Fourth Proportional to 214,782.70, 322,149.36 and 57,023.50

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Solution

The fourth proportional to 214,782.70, 322,149.36 and 57,023.50 is: 85,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,782.70 : 322,149.36 = 57,023.50 : x
  2. Step 2: Convert to fraction form
    214,782.70/322,149.36 = 57,023.50/x
  3. Step 3: Cross multiply
    214,782.70x = 322,149.36 × 57,023.50
  4. Step 4: Simplify right side
    214,782.70x = 18,370,084,029.96
  5. Step 5: Solve for x
    x = 18,370,084,029.96/214,782.70
  6. Step 6: Final answer
    x = 85,528.69

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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.