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Finding the Fourth Proportional to 199,106.80, 274,767.38 and 109,682.80

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Solution

The fourth proportional to 199,106.80, 274,767.38 and 109,682.80 is: 151,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,106.80 : 274,767.38 = 109,682.80 : x
  2. Step 2: Convert to fraction form
    199,106.80/274,767.38 = 109,682.80/x
  3. Step 3: Cross multiply
    199,106.80x = 274,767.38 × 109,682.80
  4. Step 4: Simplify right side
    199,106.80x = 30,137,255,587.06
  5. Step 5: Solve for x
    x = 30,137,255,587.06/199,106.80
  6. Step 6: Final answer
    x = 151,362.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.