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Finding the Fourth Proportional to 201,308.20, 301,597.80 and 159,463.60

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Solution

The fourth proportional to 201,308.20, 301,597.80 and 159,463.60 is: 238,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308.20 : 301,597.80 = 159,463.60 : x
  2. Step 2: Convert to fraction form
    201,308.20/301,597.80 = 159,463.60/x
  3. Step 3: Cross multiply
    201,308.20x = 301,597.80 × 159,463.60
  4. Step 4: Simplify right side
    201,308.20x = 48,093,870,940.08
  5. Step 5: Solve for x
    x = 48,093,870,940.08/201,308.20
  6. Step 6: Final answer
    x = 238,906.67

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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.