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Finding the Fourth Proportional to 214,938.80, 322,408.20 and 83,610.80

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Solution

The fourth proportional to 214,938.80, 322,408.20 and 83,610.80 is: 125,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938.80 : 322,408.20 = 83,610.80 : x
  2. Step 2: Convert to fraction form
    214,938.80/322,408.20 = 83,610.80/x
  3. Step 3: Cross multiply
    214,938.80x = 322,408.20 × 83,610.80
  4. Step 4: Simplify right side
    214,938.80x = 26,956,807,528.56
  5. Step 5: Solve for x
    x = 26,956,807,528.56/214,938.80
  6. Step 6: Final answer
    x = 125,416.20

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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.