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Finding the Fourth Proportional to 200,996.68, 301,100.84 and 116,579.52

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Solution

The fourth proportional to 200,996.68, 301,100.84 and 116,579.52 is: 174,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996.68 : 301,100.84 = 116,579.52 : x
  2. Step 2: Convert to fraction form
    200,996.68/301,100.84 = 116,579.52/x
  3. Step 3: Cross multiply
    200,996.68x = 301,100.84 × 116,579.52
  4. Step 4: Simplify right side
    200,996.68x = 35,102,191,398.80
  5. Step 5: Solve for x
    x = 35,102,191,398.80/200,996.68
  6. Step 6: Final answer
    x = 174,640.65

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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.