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Finding the Fourth Proportional to 194,754, 268,760.52 and 105,330

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Solution

The fourth proportional to 194,754, 268,760.52 and 105,330 is: 145,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,754 : 268,760.52 = 105,330 : x
  2. Step 2: Convert to fraction form
    194,754/268,760.52 = 105,330/x
  3. Step 3: Cross multiply
    194,754x = 268,760.52 × 105,330
  4. Step 4: Simplify right side
    194,754x = 28,308,545,571.60
  5. Step 5: Solve for x
    x = 28,308,545,571.60/194,754
  6. Step 6: Final answer
    x = 145,355.40

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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.