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Finding the Fourth Proportional to 201,022.30, 301,566.30 and 67,910.50

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Solution

The fourth proportional to 201,022.30, 301,566.30 and 67,910.50 is: 101,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,022.30 : 301,566.30 = 67,910.50 : x
  2. Step 2: Convert to fraction form
    201,022.30/301,566.30 = 67,910.50/x
  3. Step 3: Cross multiply
    201,022.30x = 301,566.30 × 67,910.50
  4. Step 4: Simplify right side
    201,022.30x = 20,479,518,216.15
  5. Step 5: Solve for x
    x = 20,479,518,216.15/201,022.30
  6. Step 6: Final answer
    x = 101,876.85

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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.