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Finding the Fourth Proportional to 201,142.37, 301,713.56 and 51,382.99

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Solution

The fourth proportional to 201,142.37, 301,713.56 and 51,382.99 is: 77,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.37 : 301,713.56 = 51,382.99 : x
  2. Step 2: Convert to fraction form
    201,142.37/301,713.56 = 51,382.99/x
  3. Step 3: Cross multiply
    201,142.37x = 301,713.56 × 51,382.99
  4. Step 4: Simplify right side
    201,142.37x = 15,502,945,149.26
  5. Step 5: Solve for x
    x = 15,502,945,149.26/201,142.37
  6. Step 6: Final answer
    x = 77,074.49

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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.