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Finding the Fourth Proportional to 229,175.92, 343,899.96 and 123,992.56

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Solution

The fourth proportional to 229,175.92, 343,899.96 and 123,992.56 is: 186,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,175.92 : 343,899.96 = 123,992.56 : x
  2. Step 2: Convert to fraction form
    229,175.92/343,899.96 = 123,992.56/x
  3. Step 3: Cross multiply
    229,175.92x = 343,899.96 × 123,992.56
  4. Step 4: Simplify right side
    229,175.92x = 42,641,036,424.30
  5. Step 5: Solve for x
    x = 42,641,036,424.30/229,175.92
  6. Step 6: Final answer
    x = 186,062.46

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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.