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Finding the Fourth Proportional to 254,766.16, 382,150.16 and 77,274.72

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Solution

The fourth proportional to 254,766.16, 382,150.16 and 77,274.72 is: 115,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,766.16 : 382,150.16 = 77,274.72 : x
  2. Step 2: Convert to fraction form
    254,766.16/382,150.16 = 77,274.72/x
  3. Step 3: Cross multiply
    254,766.16x = 382,150.16 × 77,274.72
  4. Step 4: Simplify right side
    254,766.16x = 29,530,546,611.96
  5. Step 5: Solve for x
    x = 29,530,546,611.96/254,766.16
  6. Step 6: Final answer
    x = 115,912.36

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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.