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Finding the Fourth Proportional to 221,030.75, 305,022.44 and 120,428.75

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Solution

The fourth proportional to 221,030.75, 305,022.44 and 120,428.75 is: 166,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,030.75 : 305,022.44 = 120,428.75 : x
  2. Step 2: Convert to fraction form
    221,030.75/305,022.44 = 120,428.75/x
  3. Step 3: Cross multiply
    221,030.75x = 305,022.44 × 120,428.75
  4. Step 4: Simplify right side
    221,030.75x = 36,733,470,569.01
  5. Step 5: Solve for x
    x = 36,733,470,569.01/221,030.75
  6. Step 6: Final answer
    x = 166,191.68

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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.