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Finding the Fourth Proportional to 144,499.14, 199,416.33 and 80,838

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Solution

The fourth proportional to 144,499.14, 199,416.33 and 80,838 is: 111,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,499.14 : 199,416.33 = 80,838 : x
  2. Step 2: Convert to fraction form
    144,499.14/199,416.33 = 80,838/x
  3. Step 3: Cross multiply
    144,499.14x = 199,416.33 × 80,838
  4. Step 4: Simplify right side
    144,499.14x = 16,120,417,284.54
  5. Step 5: Solve for x
    x = 16,120,417,284.54/144,499.14
  6. Step 6: Final answer
    x = 111,560.65

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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.