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Finding the Fourth Proportional to 231,886.83, 347,774.26 and 96,877.95

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Solution

The fourth proportional to 231,886.83, 347,774.26 and 96,877.95 is: 145,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,886.83 : 347,774.26 = 96,877.95 : x
  2. Step 2: Convert to fraction form
    231,886.83/347,774.26 = 96,877.95/x
  3. Step 3: Cross multiply
    231,886.83x = 347,774.26 × 96,877.95
  4. Step 4: Simplify right side
    231,886.83x = 33,691,657,371.57
  5. Step 5: Solve for x
    x = 33,691,657,371.57/231,886.83
  6. Step 6: Final answer
    x = 145,293.54

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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.