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Finding the Fourth Proportional to 221,106.92, 305,032.99 and 144,493.05

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Solution

The fourth proportional to 221,106.92, 305,032.99 and 144,493.05 is: 199,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,106.92 : 305,032.99 = 144,493.05 : x
  2. Step 2: Convert to fraction form
    221,106.92/305,032.99 = 144,493.05/x
  3. Step 3: Cross multiply
    221,106.92x = 305,032.99 × 144,493.05
  4. Step 4: Simplify right side
    221,106.92x = 44,075,146,353.25
  5. Step 5: Solve for x
    x = 44,075,146,353.25/221,106.92
  6. Step 6: Final answer
    x = 199,338.61

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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.