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Finding the Fourth Proportional to 147,633.70, 221,450.55 and 85,231.30

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Solution

The fourth proportional to 147,633.70, 221,450.55 and 85,231.30 is: 127,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,633.70 : 221,450.55 = 85,231.30 : x
  2. Step 2: Convert to fraction form
    147,633.70/221,450.55 = 85,231.30/x
  3. Step 3: Cross multiply
    147,633.70x = 221,450.55 × 85,231.30
  4. Step 4: Simplify right side
    147,633.70x = 18,874,518,262.22
  5. Step 5: Solve for x
    x = 18,874,518,262.22/147,633.70
  6. Step 6: Final answer
    x = 127,846.95

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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.