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Finding the Fourth Proportional to 164,170.64, 246,256 and 39,511.64

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Solution

The fourth proportional to 164,170.64, 246,256 and 39,511.64 is: 59,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,170.64 : 246,256 = 39,511.64 : x
  2. Step 2: Convert to fraction form
    164,170.64/246,256 = 39,511.64/x
  3. Step 3: Cross multiply
    164,170.64x = 246,256 × 39,511.64
  4. Step 4: Simplify right side
    164,170.64x = 9,729,978,419.84
  5. Step 5: Solve for x
    x = 9,729,978,419.84/164,170.64
  6. Step 6: Final answer
    x = 59,267.47

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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.