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Finding the Fourth Proportional to 133,092.21, 199,647.90 and 41,899.80

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Solution

The fourth proportional to 133,092.21, 199,647.90 and 41,899.80 is: 62,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092.21 : 199,647.90 = 41,899.80 : x
  2. Step 2: Convert to fraction form
    133,092.21/199,647.90 = 41,899.80/x
  3. Step 3: Cross multiply
    133,092.21x = 199,647.90 × 41,899.80
  4. Step 4: Simplify right side
    133,092.21x = 8,365,207,080.42
  5. Step 5: Solve for x
    x = 8,365,207,080.42/133,092.21
  6. Step 6: Final answer
    x = 62,852.72

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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.