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Finding the Fourth Proportional to 198,616.93, 274,096.64 and 107,978.94

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Solution

The fourth proportional to 198,616.93, 274,096.64 and 107,978.94 is: 149,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,616.93 : 274,096.64 = 107,978.94 : x
  2. Step 2: Convert to fraction form
    198,616.93/274,096.64 = 107,978.94/x
  3. Step 3: Cross multiply
    198,616.93x = 274,096.64 × 107,978.94
  4. Step 4: Simplify right side
    198,616.93x = 29,596,664,914.71
  5. Step 5: Solve for x
    x = 29,596,664,914.71/198,616.93
  6. Step 6: Final answer
    x = 149,013.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.