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Finding the Fourth Proportional to 96,605.87, 144,879.27 and 66,811.60

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Solution

The fourth proportional to 96,605.87, 144,879.27 and 66,811.60 is: 100,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,605.87 : 144,879.27 = 66,811.60 : x
  2. Step 2: Convert to fraction form
    96,605.87/144,879.27 = 66,811.60/x
  3. Step 3: Cross multiply
    96,605.87x = 144,879.27 × 66,811.60
  4. Step 4: Simplify right side
    96,605.87x = 9,679,615,766.09
  5. Step 5: Solve for x
    x = 9,679,615,766.09/96,605.87
  6. Step 6: Final answer
    x = 100,196.98

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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.