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Finding the Fourth Proportional to 201,139.79, 301,834.26 and 116,939.57

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Solution

The fourth proportional to 201,139.79, 301,834.26 and 116,939.57 is: 175,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.79 : 301,834.26 = 116,939.57 : x
  2. Step 2: Convert to fraction form
    201,139.79/301,834.26 = 116,939.57/x
  3. Step 3: Cross multiply
    201,139.79x = 301,834.26 × 116,939.57
  4. Step 4: Simplify right side
    201,139.79x = 35,296,367,066.50
  5. Step 5: Solve for x
    x = 35,296,367,066.50/201,139.79
  6. Step 6: Final answer
    x = 175,481.78

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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.