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Finding the Fourth Proportional to 164,604.22, 246,914.93 and 52,293.26

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Solution

The fourth proportional to 164,604.22, 246,914.93 and 52,293.26 is: 78,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,604.22 : 246,914.93 = 52,293.26 : x
  2. Step 2: Convert to fraction form
    164,604.22/246,914.93 = 52,293.26/x
  3. Step 3: Cross multiply
    164,604.22x = 246,914.93 × 52,293.26
  4. Step 4: Simplify right side
    164,604.22x = 12,911,987,380.39
  5. Step 5: Solve for x
    x = 12,911,987,380.39/164,604.22
  6. Step 6: Final answer
    x = 78,442.63

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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.