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Finding the Fourth Proportional to 217,211.60, 325,817.40 and 146,709.20

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Solution

The fourth proportional to 217,211.60, 325,817.40 and 146,709.20 is: 220,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,211.60 : 325,817.40 = 146,709.20 : x
  2. Step 2: Convert to fraction form
    217,211.60/325,817.40 = 146,709.20/x
  3. Step 3: Cross multiply
    217,211.60x = 325,817.40 × 146,709.20
  4. Step 4: Simplify right side
    217,211.60x = 47,800,410,100.08
  5. Step 5: Solve for x
    x = 47,800,410,100.08/217,211.60
  6. Step 6: Final answer
    x = 220,063.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.