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Finding the Fourth Proportional to 194,941, 269,019.39 and 105,517

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Solution

The fourth proportional to 194,941, 269,019.39 and 105,517 is: 145,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,941 : 269,019.39 = 105,517 : x
  2. Step 2: Convert to fraction form
    194,941/269,019.39 = 105,517/x
  3. Step 3: Cross multiply
    194,941x = 269,019.39 × 105,517
  4. Step 4: Simplify right side
    194,941x = 28,386,118,974.63
  5. Step 5: Solve for x
    x = 28,386,118,974.63/194,941
  6. Step 6: Final answer
    x = 145,613.90

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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.