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Finding the Fourth Proportional to 205,381.90, 283,620.93 and 194,199.40

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Solution

The fourth proportional to 205,381.90, 283,620.93 and 194,199.40 is: 268,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.90 : 283,620.93 = 194,199.40 : x
  2. Step 2: Convert to fraction form
    205,381.90/283,620.93 = 194,199.40/x
  3. Step 3: Cross multiply
    205,381.90x = 283,620.93 × 194,199.40
  4. Step 4: Simplify right side
    205,381.90x = 55,079,014,433.44
  5. Step 5: Solve for x
    x = 55,079,014,433.44/205,381.90
  6. Step 6: Final answer
    x = 268,178.52

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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.