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Finding the Fourth Proportional to 200,975.67, 301,069.38 and 116,558.49

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Solution

The fourth proportional to 200,975.67, 301,069.38 and 116,558.49 is: 174,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,975.67 : 301,069.38 = 116,558.49 : x
  2. Step 2: Convert to fraction form
    200,975.67/301,069.38 = 116,558.49/x
  3. Step 3: Cross multiply
    200,975.67x = 301,069.38 × 116,558.49
  4. Step 4: Simplify right side
    200,975.67x = 35,092,192,099.49
  5. Step 5: Solve for x
    x = 35,092,192,099.49/200,975.67
  6. Step 6: Final answer
    x = 174,609.16

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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.