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Finding the Fourth Proportional to 198,361.76, 273,709.26 and 117,759.87

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Solution

The fourth proportional to 198,361.76, 273,709.26 and 117,759.87 is: 162,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,361.76 : 273,709.26 = 117,759.87 : x
  2. Step 2: Convert to fraction form
    198,361.76/273,709.26 = 117,759.87/x
  3. Step 3: Cross multiply
    198,361.76x = 273,709.26 × 117,759.87
  4. Step 4: Simplify right side
    198,361.76x = 32,231,966,875.40
  5. Step 5: Solve for x
    x = 32,231,966,875.40/198,361.76
  6. Step 6: Final answer
    x = 162,490.83

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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.