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Finding the Fourth Proportional to 190,874.52, 285,741.54 and 115,767

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Solution

The fourth proportional to 190,874.52, 285,741.54 and 115,767 is: 173,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,874.52 : 285,741.54 = 115,767 : x
  2. Step 2: Convert to fraction form
    190,874.52/285,741.54 = 115,767/x
  3. Step 3: Cross multiply
    190,874.52x = 285,741.54 × 115,767
  4. Step 4: Simplify right side
    190,874.52x = 33,079,440,861.18
  5. Step 5: Solve for x
    x = 33,079,440,861.18/190,874.52
  6. Step 6: Final answer
    x = 173,304.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.