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Finding the Fourth Proportional to 323,152, 445,984.32 and 189,128.32

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Solution

The fourth proportional to 323,152, 445,984.32 and 189,128.32 is: 261,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,152 : 445,984.32 = 189,128.32 : x
  2. Step 2: Convert to fraction form
    323,152/445,984.32 = 189,128.32/x
  3. Step 3: Cross multiply
    323,152x = 445,984.32 × 189,128.32
  4. Step 4: Simplify right side
    323,152x = 84,348,265,187.94
  5. Step 5: Solve for x
    x = 84,348,265,187.94/323,152
  6. Step 6: Final answer
    x = 261,017.31

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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.