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Finding the Fourth Proportional to 194,489, 268,395.06 and 105,065

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Solution

The fourth proportional to 194,489, 268,395.06 and 105,065 is: 144,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,489 : 268,395.06 = 105,065 : x
  2. Step 2: Convert to fraction form
    194,489/268,395.06 = 105,065/x
  3. Step 3: Cross multiply
    194,489x = 268,395.06 × 105,065
  4. Step 4: Simplify right side
    194,489x = 28,198,926,978.90
  5. Step 5: Solve for x
    x = 28,198,926,978.90/194,489
  6. Step 6: Final answer
    x = 144,989.83

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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.