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Finding the Fourth Proportional to 144,744.48, 199,724.16 and 81,084.96

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Solution

The fourth proportional to 144,744.48, 199,724.16 and 81,084.96 is: 111,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,744.48 : 199,724.16 = 81,084.96 : x
  2. Step 2: Convert to fraction form
    144,744.48/199,724.16 = 81,084.96/x
  3. Step 3: Cross multiply
    144,744.48x = 199,724.16 × 81,084.96
  4. Step 4: Simplify right side
    144,744.48x = 16,194,625,524.63
  5. Step 5: Solve for x
    x = 16,194,625,524.63/144,744.48
  6. Step 6: Final answer
    x = 111,884.24

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Why These Related Problems?

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