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Finding the Fourth Proportional to 144,468.36, 199,381.23 and 83,216.63

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Solution

The fourth proportional to 144,468.36, 199,381.23 and 83,216.63 is: 114,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,468.36 : 199,381.23 = 83,216.63 : x
  2. Step 2: Convert to fraction form
    144,468.36/199,381.23 = 83,216.63/x
  3. Step 3: Cross multiply
    144,468.36x = 199,381.23 × 83,216.63
  4. Step 4: Simplify right side
    144,468.36x = 16,591,834,544.31
  5. Step 5: Solve for x
    x = 16,591,834,544.31/144,468.36
  6. Step 6: Final answer
    x = 114,847.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.