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Finding the Fourth Proportional to 192,898.86, 266,194.38 and 106,854.39

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Solution

The fourth proportional to 192,898.86, 266,194.38 and 106,854.39 is: 147,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,898.86 : 266,194.38 = 106,854.39 : x
  2. Step 2: Convert to fraction form
    192,898.86/266,194.38 = 106,854.39/x
  3. Step 3: Cross multiply
    192,898.86x = 266,194.38 × 106,854.39
  4. Step 4: Simplify right side
    192,898.86x = 28,444,038,096.33
  5. Step 5: Solve for x
    x = 28,444,038,096.33/192,898.86
  6. Step 6: Final answer
    x = 147,455.71

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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.