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Finding the Fourth Proportional to 133,098.21, 199,656.90 and 41,905.80

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Solution

The fourth proportional to 133,098.21, 199,656.90 and 41,905.80 is: 62,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.21 : 199,656.90 = 41,905.80 : x
  2. Step 2: Convert to fraction form
    133,098.21/199,656.90 = 41,905.80/x
  3. Step 3: Cross multiply
    133,098.21x = 199,656.90 × 41,905.80
  4. Step 4: Simplify right side
    133,098.21x = 8,366,782,120.02
  5. Step 5: Solve for x
    x = 8,366,782,120.02/133,098.21
  6. Step 6: Final answer
    x = 62,861.72

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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.