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Finding the Fourth Proportional to 200,773.53, 300,758.73 and 120,767.33

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Solution

The fourth proportional to 200,773.53, 300,758.73 and 120,767.33 is: 180,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.53 : 300,758.73 = 120,767.33 : x
  2. Step 2: Convert to fraction form
    200,773.53/300,758.73 = 120,767.33/x
  3. Step 3: Cross multiply
    200,773.53x = 300,758.73 × 120,767.33
  4. Step 4: Simplify right side
    200,773.53x = 36,321,827,292.50
  5. Step 5: Solve for x
    x = 36,321,827,292.50/200,773.53
  6. Step 6: Final answer
    x = 180,909.44

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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.