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Finding the Fourth Proportional to 230,797.56, 346,215.78 and 73,022.52

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Solution

The fourth proportional to 230,797.56, 346,215.78 and 73,022.52 is: 109,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,797.56 : 346,215.78 = 73,022.52 : x
  2. Step 2: Convert to fraction form
    230,797.56/346,215.78 = 73,022.52/x
  3. Step 3: Cross multiply
    230,797.56x = 346,215.78 × 73,022.52
  4. Step 4: Simplify right side
    230,797.56x = 25,281,548,719.37
  5. Step 5: Solve for x
    x = 25,281,548,719.37/230,797.56
  6. Step 6: Final answer
    x = 109,539.93

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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.