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Finding the Fourth Proportional to 223,530, 335,262.16 and 73,775.16

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Solution

The fourth proportional to 223,530, 335,262.16 and 73,775.16 is: 110,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,530 : 335,262.16 = 73,775.16 : x
  2. Step 2: Convert to fraction form
    223,530/335,262.16 = 73,775.16/x
  3. Step 3: Cross multiply
    223,530x = 335,262.16 × 73,775.16
  4. Step 4: Simplify right side
    223,530x = 24,734,019,495.95
  5. Step 5: Solve for x
    x = 24,734,019,495.95/223,530
  6. Step 6: Final answer
    x = 110,651.90

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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.