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Finding the Fourth Proportional to 201,212.37, 301,817.48 and 51,452.42

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Solution

The fourth proportional to 201,212.37, 301,817.48 and 51,452.42 is: 77,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.37 : 301,817.48 = 51,452.42 : x
  2. Step 2: Convert to fraction form
    201,212.37/301,817.48 = 51,452.42/x
  3. Step 3: Cross multiply
    201,212.37x = 301,817.48 × 51,452.42
  4. Step 4: Simplify right side
    201,212.37x = 15,529,237,977.95
  5. Step 5: Solve for x
    x = 15,529,237,977.95/201,212.37
  6. Step 6: Final answer
    x = 77,178.35

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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.