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Finding the Fourth Proportional to 416,267.82, 624,349.06 and 131,961.12

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Solution

The fourth proportional to 416,267.82, 624,349.06 and 131,961.12 is: 197,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,267.82 : 624,349.06 = 131,961.12 : x
  2. Step 2: Convert to fraction form
    416,267.82/624,349.06 = 131,961.12/x
  3. Step 3: Cross multiply
    416,267.82x = 624,349.06 × 131,961.12
  4. Step 4: Simplify right side
    416,267.82x = 82,389,801,228.55
  5. Step 5: Solve for x
    x = 82,389,801,228.55/416,267.82
  6. Step 6: Final answer
    x = 197,924.98

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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.