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Finding the Fourth Proportional to 190,280.53, 285,363.89 and 119,310.97

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Solution

The fourth proportional to 190,280.53, 285,363.89 and 119,310.97 is: 178,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,280.53 : 285,363.89 = 119,310.97 : x
  2. Step 2: Convert to fraction form
    190,280.53/285,363.89 = 119,310.97/x
  3. Step 3: Cross multiply
    190,280.53x = 285,363.89 × 119,310.97
  4. Step 4: Simplify right side
    190,280.53x = 34,047,041,092.05
  5. Step 5: Solve for x
    x = 34,047,041,092.05/190,280.53
  6. Step 6: Final answer
    x = 178,930.77

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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.