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Finding the Fourth Proportional to 248,469.31, 342,797.59 and 140,977.08

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Solution

The fourth proportional to 248,469.31, 342,797.59 and 140,977.08 is: 194,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,469.31 : 342,797.59 = 140,977.08 : x
  2. Step 2: Convert to fraction form
    248,469.31/342,797.59 = 140,977.08/x
  3. Step 3: Cross multiply
    248,469.31x = 342,797.59 × 140,977.08
  4. Step 4: Simplify right side
    248,469.31x = 48,326,600,850.36
  5. Step 5: Solve for x
    x = 48,326,600,850.36/248,469.31
  6. Step 6: Final answer
    x = 194,497.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.