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Finding the Fourth Proportional to 279,986.69, 419,933.84 and 120,088.51

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Solution

The fourth proportional to 279,986.69, 419,933.84 and 120,088.51 is: 180,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,986.69 : 419,933.84 = 120,088.51 : x
  2. Step 2: Convert to fraction form
    279,986.69/419,933.84 = 120,088.51/x
  3. Step 3: Cross multiply
    279,986.69x = 419,933.84 × 120,088.51
  4. Step 4: Simplify right side
    279,986.69x = 50,429,230,278.74
  5. Step 5: Solve for x
    x = 50,429,230,278.74/279,986.69
  6. Step 6: Final answer
    x = 180,112.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.