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Finding the Fourth Proportional to 323,146, 445,976.04 and 189,122.32

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Solution

The fourth proportional to 323,146, 445,976.04 and 189,122.32 is: 261,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,146 : 445,976.04 = 189,122.32 : x
  2. Step 2: Convert to fraction form
    323,146/445,976.04 = 189,122.32/x
  3. Step 3: Cross multiply
    323,146x = 445,976.04 × 189,122.32
  4. Step 4: Simplify right side
    323,146x = 84,344,023,349.21
  5. Step 5: Solve for x
    x = 84,344,023,349.21/323,146
  6. Step 6: Final answer
    x = 261,009.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.