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Finding the Fourth Proportional to 416,196.89, 624,374.09 and 131,959.04

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Solution

The fourth proportional to 416,196.89, 624,374.09 and 131,959.04 is: 197,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,196.89 : 624,374.09 = 131,959.04 : x
  2. Step 2: Convert to fraction form
    416,196.89/624,374.09 = 131,959.04/x
  3. Step 3: Cross multiply
    416,196.89x = 624,374.09 × 131,959.04
  4. Step 4: Simplify right side
    416,196.89x = 82,391,802,230.45
  5. Step 5: Solve for x
    x = 82,391,802,230.45/416,196.89
  6. Step 6: Final answer
    x = 197,963.52

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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.