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Finding the Fourth Proportional to 198,183, 297,305.46 and 65,032.98

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Solution

The fourth proportional to 198,183, 297,305.46 and 65,032.98 is: 97,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,183 : 297,305.46 = 65,032.98 : x
  2. Step 2: Convert to fraction form
    198,183/297,305.46 = 65,032.98/x
  3. Step 3: Cross multiply
    198,183x = 297,305.46 × 65,032.98
  4. Step 4: Simplify right side
    198,183x = 19,334,660,034.07
  5. Step 5: Solve for x
    x = 19,334,660,034.07/198,183
  6. Step 6: Final answer
    x = 97,559.63

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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.