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Finding the Fourth Proportional to 194,481, 268,384.02 and 105,057

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Solution

The fourth proportional to 194,481, 268,384.02 and 105,057 is: 144,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,481 : 268,384.02 = 105,057 : x
  2. Step 2: Convert to fraction form
    194,481/268,384.02 = 105,057/x
  3. Step 3: Cross multiply
    194,481x = 268,384.02 × 105,057
  4. Step 4: Simplify right side
    194,481x = 28,195,619,989.14
  5. Step 5: Solve for x
    x = 28,195,619,989.14/194,481
  6. Step 6: Final answer
    x = 144,978.79

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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.