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Finding the Fourth Proportional to 214,672.80, 322,009.20 and 54,748.43

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Solution

The fourth proportional to 214,672.80, 322,009.20 and 54,748.43 is: 82,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,672.80 : 322,009.20 = 54,748.43 : x
  2. Step 2: Convert to fraction form
    214,672.80/322,009.20 = 54,748.43/x
  3. Step 3: Cross multiply
    214,672.80x = 322,009.20 × 54,748.43
  4. Step 4: Simplify right side
    214,672.80x = 17,629,496,535.51
  5. Step 5: Solve for x
    x = 17,629,496,535.51/214,672.80
  6. Step 6: Final answer
    x = 82,122.64

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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.