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Finding the Fourth Proportional to 333,102.21, 499,843.77 and 140,961.51

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Solution

The fourth proportional to 333,102.21, 499,843.77 and 140,961.51 is: 211,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102.21 : 499,843.77 = 140,961.51 : x
  2. Step 2: Convert to fraction form
    333,102.21/499,843.77 = 140,961.51/x
  3. Step 3: Cross multiply
    333,102.21x = 499,843.77 × 140,961.51
  4. Step 4: Simplify right side
    333,102.21x = 70,458,732,583.29
  5. Step 5: Solve for x
    x = 70,458,732,583.29/333,102.21
  6. Step 6: Final answer
    x = 211,522.86

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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.