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Finding the Fourth Proportional to 195,907.68, 293,861.46 and 90,669.24

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Solution

The fourth proportional to 195,907.68, 293,861.46 and 90,669.24 is: 136,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,907.68 : 293,861.46 = 90,669.24 : x
  2. Step 2: Convert to fraction form
    195,907.68/293,861.46 = 90,669.24/x
  3. Step 3: Cross multiply
    195,907.68x = 293,861.46 × 90,669.24
  4. Step 4: Simplify right side
    195,907.68x = 26,644,195,243.49
  5. Step 5: Solve for x
    x = 26,644,195,243.49/195,907.68
  6. Step 6: Final answer
    x = 136,003.83

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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.