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Finding the Fourth Proportional to 201,249.60, 301,874.40 and 151,057.95

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Solution

The fourth proportional to 201,249.60, 301,874.40 and 151,057.95 is: 226,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,249.60 : 301,874.40 = 151,057.95 : x
  2. Step 2: Convert to fraction form
    201,249.60/301,874.40 = 151,057.95/x
  3. Step 3: Cross multiply
    201,249.60x = 301,874.40 × 151,057.95
  4. Step 4: Simplify right side
    201,249.60x = 45,600,528,021.48
  5. Step 5: Solve for x
    x = 45,600,528,021.48/201,249.60
  6. Step 6: Final answer
    x = 226,586.93

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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.