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Finding the Fourth Proportional to 138,198.57, 206,288.52 and 118,603.05

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Solution

The fourth proportional to 138,198.57, 206,288.52 and 118,603.05 is: 177,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198.57 : 206,288.52 = 118,603.05 : x
  2. Step 2: Convert to fraction form
    138,198.57/206,288.52 = 118,603.05/x
  3. Step 3: Cross multiply
    138,198.57x = 206,288.52 × 118,603.05
  4. Step 4: Simplify right side
    138,198.57x = 24,466,447,651.99
  5. Step 5: Solve for x
    x = 24,466,447,651.99/138,198.57
  6. Step 6: Final answer
    x = 177,038.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.