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Finding the Fourth Proportional to 106,794.94, 160,192.42 and 40,250

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Solution

The fourth proportional to 106,794.94, 160,192.42 and 40,250 is: 60,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794.94 : 160,192.42 = 40,250 : x
  2. Step 2: Convert to fraction form
    106,794.94/160,192.42 = 40,250/x
  3. Step 3: Cross multiply
    106,794.94x = 160,192.42 × 40,250
  4. Step 4: Simplify right side
    106,794.94x = 6,447,744,905.00
  5. Step 5: Solve for x
    x = 6,447,744,905.00/106,794.94
  6. Step 6: Final answer
    x = 60,375.00

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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.