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Finding the Fourth Proportional to 230,796.56, 346,214.28 and 73,021.52

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Solution

The fourth proportional to 230,796.56, 346,214.28 and 73,021.52 is: 109,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,796.56 : 346,214.28 = 73,021.52 : x
  2. Step 2: Convert to fraction form
    230,796.56/346,214.28 = 73,021.52/x
  3. Step 3: Cross multiply
    230,796.56x = 346,214.28 × 73,021.52
  4. Step 4: Simplify right side
    230,796.56x = 25,281,092,971.31
  5. Step 5: Solve for x
    x = 25,281,092,971.31/230,796.56
  6. Step 6: Final answer
    x = 109,538.43

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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.