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Finding the Fourth Proportional to 221,107.92, 305,034.36 and 144,494.05

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Solution

The fourth proportional to 221,107.92, 305,034.36 and 144,494.05 is: 199,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,107.92 : 305,034.36 = 144,494.05 : x
  2. Step 2: Convert to fraction form
    221,107.92/305,034.36 = 144,494.05/x
  3. Step 3: Cross multiply
    221,107.92x = 305,034.36 × 144,494.05
  4. Step 4: Simplify right side
    221,107.92x = 44,075,650,065.56
  5. Step 5: Solve for x
    x = 44,075,650,065.56/221,107.92
  6. Step 6: Final answer
    x = 199,339.99

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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.