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Finding the Fourth Proportional to 200,137.88, 300,550.26 and 177,699.26

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Solution

The fourth proportional to 200,137.88, 300,550.26 and 177,699.26 is: 266,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,137.88 : 300,550.26 = 177,699.26 : x
  2. Step 2: Convert to fraction form
    200,137.88/300,550.26 = 177,699.26/x
  3. Step 3: Cross multiply
    200,137.88x = 300,550.26 × 177,699.26
  4. Step 4: Simplify right side
    200,137.88x = 53,407,558,794.81
  5. Step 5: Solve for x
    x = 53,407,558,794.81/200,137.88
  6. Step 6: Final answer
    x = 266,853.82

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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.