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Finding the Fourth Proportional to 135,475.17, 186,955.71 and 75,049.73

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Solution

The fourth proportional to 135,475.17, 186,955.71 and 75,049.73 is: 103,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,475.17 : 186,955.71 = 75,049.73 : x
  2. Step 2: Convert to fraction form
    135,475.17/186,955.71 = 75,049.73/x
  3. Step 3: Cross multiply
    135,475.17x = 186,955.71 × 75,049.73
  4. Step 4: Simplify right side
    135,475.17x = 14,030,974,622.68
  5. Step 5: Solve for x
    x = 14,030,974,622.68/135,475.17
  6. Step 6: Final answer
    x = 103,568.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.