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Finding the Fourth Proportional to 201,125.14, 301,687.44 and 51,365.53

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Solution

The fourth proportional to 201,125.14, 301,687.44 and 51,365.53 is: 77,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,125.14 : 301,687.44 = 51,365.53 : x
  2. Step 2: Convert to fraction form
    201,125.14/301,687.44 = 51,365.53/x
  3. Step 3: Cross multiply
    201,125.14x = 301,687.44 × 51,365.53
  4. Step 4: Simplify right side
    201,125.14x = 15,496,335,249.94
  5. Step 5: Solve for x
    x = 15,496,335,249.94/201,125.14
  6. Step 6: Final answer
    x = 77,048.23

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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.