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Finding the Fourth Proportional to 194,753, 268,759.14 and 105,329

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Solution

The fourth proportional to 194,753, 268,759.14 and 105,329 is: 145,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,753 : 268,759.14 = 105,329 : x
  2. Step 2: Convert to fraction form
    194,753/268,759.14 = 105,329/x
  3. Step 3: Cross multiply
    194,753x = 268,759.14 × 105,329
  4. Step 4: Simplify right side
    194,753x = 28,308,131,457.06
  5. Step 5: Solve for x
    x = 28,308,131,457.06/194,753
  6. Step 6: Final answer
    x = 145,354.02

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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.