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Finding the Fourth Proportional to 135,138.27, 186,471 and 76,995.57

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Solution

The fourth proportional to 135,138.27, 186,471 and 76,995.57 is: 106,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.27 : 186,471 = 76,995.57 : x
  2. Step 2: Convert to fraction form
    135,138.27/186,471 = 76,995.57/x
  3. Step 3: Cross multiply
    135,138.27x = 186,471 × 76,995.57
  4. Step 4: Simplify right side
    135,138.27x = 14,357,440,933.47
  5. Step 5: Solve for x
    x = 14,357,440,933.47/135,138.27
  6. Step 6: Final answer
    x = 106,242.60

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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.