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Finding the Fourth Proportional to 190,284.54, 262,593 and 105,399.78

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Solution

The fourth proportional to 190,284.54, 262,593 and 105,399.78 is: 145,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,284.54 : 262,593 = 105,399.78 : x
  2. Step 2: Convert to fraction form
    190,284.54/262,593 = 105,399.78/x
  3. Step 3: Cross multiply
    190,284.54x = 262,593 × 105,399.78
  4. Step 4: Simplify right side
    190,284.54x = 27,677,244,429.54
  5. Step 5: Solve for x
    x = 27,677,244,429.54/190,284.54
  6. Step 6: Final answer
    x = 145,451.88

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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.