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Finding the Fourth Proportional to 258,641.27, 356,921.46 and 145,464.02

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Solution

The fourth proportional to 258,641.27, 356,921.46 and 145,464.02 is: 200,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,641.27 : 356,921.46 = 145,464.02 : x
  2. Step 2: Convert to fraction form
    258,641.27/356,921.46 = 145,464.02/x
  3. Step 3: Cross multiply
    258,641.27x = 356,921.46 × 145,464.02
  4. Step 4: Simplify right side
    258,641.27x = 51,919,228,611.26
  5. Step 5: Solve for x
    x = 51,919,228,611.26/258,641.27
  6. Step 6: Final answer
    x = 200,738.38

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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.