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Finding the Fourth Proportional to 201,945.13, 302,917.69 and 54,201.13

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Solution

The fourth proportional to 201,945.13, 302,917.69 and 54,201.13 is: 81,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,945.13 : 302,917.69 = 54,201.13 : x
  2. Step 2: Convert to fraction form
    201,945.13/302,917.69 = 54,201.13/x
  3. Step 3: Cross multiply
    201,945.13x = 302,917.69 × 54,201.13
  4. Step 4: Simplify right side
    201,945.13x = 16,418,481,094.99
  5. Step 5: Solve for x
    x = 16,418,481,094.99/201,945.13
  6. Step 6: Final answer
    x = 81,301.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.