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Finding the Fourth Proportional to 164,517.24, 246,775.86 and 39,858.24

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Solution

The fourth proportional to 164,517.24, 246,775.86 and 39,858.24 is: 59,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,517.24 : 246,775.86 = 39,858.24 : x
  2. Step 2: Convert to fraction form
    164,517.24/246,775.86 = 39,858.24/x
  3. Step 3: Cross multiply
    164,517.24x = 246,775.86 × 39,858.24
  4. Step 4: Simplify right side
    164,517.24x = 9,836,051,454.09
  5. Step 5: Solve for x
    x = 9,836,051,454.09/164,517.24
  6. Step 6: Final answer
    x = 59,787.36

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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.