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Finding the Fourth Proportional to 201,318.15, 301,755.73 and 82,924.90

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Solution

The fourth proportional to 201,318.15, 301,755.73 and 82,924.90 is: 124,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,318.15 : 301,755.73 = 82,924.90 : x
  2. Step 2: Convert to fraction form
    201,318.15/301,755.73 = 82,924.90/x
  3. Step 3: Cross multiply
    201,318.15x = 301,755.73 × 82,924.90
  4. Step 4: Simplify right side
    201,318.15x = 25,023,063,734.68
  5. Step 5: Solve for x
    x = 25,023,063,734.68/201,318.15
  6. Step 6: Final answer
    x = 124,296.11

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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.