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Finding the Fourth Proportional to 200,251.64, 300,045.77 and 140,796.83

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Solution

The fourth proportional to 200,251.64, 300,045.77 and 140,796.83 is: 210,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.64 : 300,045.77 = 140,796.83 : x
  2. Step 2: Convert to fraction form
    200,251.64/300,045.77 = 140,796.83/x
  3. Step 3: Cross multiply
    200,251.64x = 300,045.77 × 140,796.83
  4. Step 4: Simplify right side
    200,251.64x = 42,245,493,845.03
  5. Step 5: Solve for x
    x = 42,245,493,845.03/200,251.64
  6. Step 6: Final answer
    x = 210,962.03

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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.