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Finding the Fourth Proportional to 199,092.60, 298,683.16 and 72,732.60

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Solution

The fourth proportional to 199,092.60, 298,683.16 and 72,732.60 is: 109,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092.60 : 298,683.16 = 72,732.60 : x
  2. Step 2: Convert to fraction form
    199,092.60/298,683.16 = 72,732.60/x
  3. Step 3: Cross multiply
    199,092.60x = 298,683.16 × 72,732.60
  4. Step 4: Simplify right side
    199,092.60x = 21,724,002,803.02
  5. Step 5: Solve for x
    x = 21,724,002,803.02/199,092.60
  6. Step 6: Final answer
    x = 109,115.07

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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.