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Finding the Fourth Proportional to 198,603.10, 273,808.92 and 164,485.90

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Solution

The fourth proportional to 198,603.10, 273,808.92 and 164,485.90 is: 226,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,603.10 : 273,808.92 = 164,485.90 : x
  2. Step 2: Convert to fraction form
    198,603.10/273,808.92 = 164,485.90/x
  3. Step 3: Cross multiply
    198,603.10x = 273,808.92 × 164,485.90
  4. Step 4: Simplify right side
    198,603.10x = 45,037,706,634.23
  5. Step 5: Solve for x
    x = 45,037,706,634.23/198,603.10
  6. Step 6: Final answer
    x = 226,772.43

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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.