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Finding the Fourth Proportional to 214,933.80, 322,400.70 and 83,605.80

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Solution

The fourth proportional to 214,933.80, 322,400.70 and 83,605.80 is: 125,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,933.80 : 322,400.70 = 83,605.80 : x
  2. Step 2: Convert to fraction form
    214,933.80/322,400.70 = 83,605.80/x
  3. Step 3: Cross multiply
    214,933.80x = 322,400.70 × 83,605.80
  4. Step 4: Simplify right side
    214,933.80x = 26,954,568,444.06
  5. Step 5: Solve for x
    x = 26,954,568,444.06/214,933.80
  6. Step 6: Final answer
    x = 125,408.70

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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.