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Finding the Fourth Proportional to 221,450.70, 332,176.05 and 142,718.70

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Solution

The fourth proportional to 221,450.70, 332,176.05 and 142,718.70 is: 214,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,450.70 : 332,176.05 = 142,718.70 : x
  2. Step 2: Convert to fraction form
    221,450.70/332,176.05 = 142,718.70/x
  3. Step 3: Cross multiply
    221,450.70x = 332,176.05 × 142,718.70
  4. Step 4: Simplify right side
    221,450.70x = 47,407,734,027.14
  5. Step 5: Solve for x
    x = 47,407,734,027.14/221,450.70
  6. Step 6: Final answer
    x = 214,078.05

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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.