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Finding the Fourth Proportional to 213,763.20, 320,433.30 and 101,245.65

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Solution

The fourth proportional to 213,763.20, 320,433.30 and 101,245.65 is: 151,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,763.20 : 320,433.30 = 101,245.65 : x
  2. Step 2: Convert to fraction form
    213,763.20/320,433.30 = 101,245.65/x
  3. Step 3: Cross multiply
    213,763.20x = 320,433.30 × 101,245.65
  4. Step 4: Simplify right side
    213,763.20x = 32,442,477,740.15
  5. Step 5: Solve for x
    x = 32,442,477,740.15/213,763.20
  6. Step 6: Final answer
    x = 151,768.30

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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.