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Finding the Fourth Proportional to 201,249.54, 301,884.63 and 51,491.10

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Solution

The fourth proportional to 201,249.54, 301,884.63 and 51,491.10 is: 77,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,249.54 : 301,884.63 = 51,491.10 : x
  2. Step 2: Convert to fraction form
    201,249.54/301,884.63 = 51,491.10/x
  3. Step 3: Cross multiply
    201,249.54x = 301,884.63 × 51,491.10
  4. Step 4: Simplify right side
    201,249.54x = 15,544,371,671.79
  5. Step 5: Solve for x
    x = 15,544,371,671.79/201,249.54
  6. Step 6: Final answer
    x = 77,239.29

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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.