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Finding the Fourth Proportional to 231,886.33, 347,773.51 and 96,877.45

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Solution

The fourth proportional to 231,886.33, 347,773.51 and 96,877.45 is: 145,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,886.33 : 347,773.51 = 96,877.45 : x
  2. Step 2: Convert to fraction form
    231,886.33/347,773.51 = 96,877.45/x
  3. Step 3: Cross multiply
    231,886.33x = 347,773.51 × 96,877.45
  4. Step 4: Simplify right side
    231,886.33x = 33,691,410,826.35
  5. Step 5: Solve for x
    x = 33,691,410,826.35/231,886.33
  6. Step 6: Final answer
    x = 145,292.79

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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.