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Finding the Fourth Proportional to 201,942.98, 278,669.94 and 111,298.67

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Solution

The fourth proportional to 201,942.98, 278,669.94 and 111,298.67 is: 153,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.98 : 278,669.94 = 111,298.67 : x
  2. Step 2: Convert to fraction form
    201,942.98/278,669.94 = 111,298.67/x
  3. Step 3: Cross multiply
    201,942.98x = 278,669.94 × 111,298.67
  4. Step 4: Simplify right side
    201,942.98x = 31,015,593,690.98
  5. Step 5: Solve for x
    x = 31,015,593,690.98/201,942.98
  6. Step 6: Final answer
    x = 153,585.90

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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.