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Finding the Fourth Proportional to 200,589.59, 276,811.14 and 108,706.89

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Solution

The fourth proportional to 200,589.59, 276,811.14 and 108,706.89 is: 150,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589.59 : 276,811.14 = 108,706.89 : x
  2. Step 2: Convert to fraction form
    200,589.59/276,811.14 = 108,706.89/x
  3. Step 3: Cross multiply
    200,589.59x = 276,811.14 × 108,706.89
  4. Step 4: Simplify right side
    200,589.59x = 30,091,278,146.75
  5. Step 5: Solve for x
    x = 30,091,278,146.75/200,589.59
  6. Step 6: Final answer
    x = 150,014.16

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1.5x scale

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.