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Finding the Fourth Proportional to 96,657.60, 144,813.60 and 81,796.80

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Solution

The fourth proportional to 96,657.60, 144,813.60 and 81,796.80 is: 122,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,657.60 : 144,813.60 = 81,796.80 : x
  2. Step 2: Convert to fraction form
    96,657.60/144,813.60 = 81,796.80/x
  3. Step 3: Cross multiply
    96,657.60x = 144,813.60 × 81,796.80
  4. Step 4: Simplify right side
    96,657.60x = 11,845,289,076.48
  5. Step 5: Solve for x
    x = 11,845,289,076.48/96,657.60
  6. Step 6: Final answer
    x = 122,548.97

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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.