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Finding the Fourth Proportional to 195,874.80, 293,607.40 and 106,991.60

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Solution

The fourth proportional to 195,874.80, 293,607.40 and 106,991.60 is: 160,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,874.80 : 293,607.40 = 106,991.60 : x
  2. Step 2: Convert to fraction form
    195,874.80/293,607.40 = 106,991.60/x
  3. Step 3: Cross multiply
    195,874.80x = 293,607.40 × 106,991.60
  4. Step 4: Simplify right side
    195,874.80x = 31,413,525,497.84
  5. Step 5: Solve for x
    x = 31,413,525,497.84/195,874.80
  6. Step 6: Final answer
    x = 160,375.53

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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.