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Finding the Fourth Proportional to 231,083.44, 318,724.56 and 146,118.48

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Solution

The fourth proportional to 231,083.44, 318,724.56 and 146,118.48 is: 201,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,083.44 : 318,724.56 = 146,118.48 : x
  2. Step 2: Convert to fraction form
    231,083.44/318,724.56 = 146,118.48/x
  3. Step 3: Cross multiply
    231,083.44x = 318,724.56 × 146,118.48
  4. Step 4: Simplify right side
    231,083.44x = 46,571,548,245.87
  5. Step 5: Solve for x
    x = 46,571,548,245.87/231,083.44
  6. Step 6: Final answer
    x = 201,535.64

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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.