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Finding the Fourth Proportional to 164,110.52, 246,165.82 and 51,799.49

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Solution

The fourth proportional to 164,110.52, 246,165.82 and 51,799.49 is: 77,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,110.52 : 246,165.82 = 51,799.49 : x
  2. Step 2: Convert to fraction form
    164,110.52/246,165.82 = 51,799.49/x
  3. Step 3: Cross multiply
    164,110.52x = 246,165.82 × 51,799.49
  4. Step 4: Simplify right side
    164,110.52x = 12,751,263,494.23
  5. Step 5: Solve for x
    x = 12,751,263,494.23/164,110.52
  6. Step 6: Final answer
    x = 77,699.24

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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.