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Finding the Fourth Proportional to 293,912.68, 405,030.72 and 198,253.12

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Solution

The fourth proportional to 293,912.68, 405,030.72 and 198,253.12 is: 273,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,912.68 : 405,030.72 = 198,253.12 : x
  2. Step 2: Convert to fraction form
    293,912.68/405,030.72 = 198,253.12/x
  3. Step 3: Cross multiply
    293,912.68x = 405,030.72 × 198,253.12
  4. Step 4: Simplify right side
    293,912.68x = 80,298,603,935.85
  5. Step 5: Solve for x
    x = 80,298,603,935.85/293,912.68
  6. Step 6: Final answer
    x = 273,205.65

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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.