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Finding the Fourth Proportional to 200,704.63, 276,976.19 and 110,055.19

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Solution

The fourth proportional to 200,704.63, 276,976.19 and 110,055.19 is: 151,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,704.63 : 276,976.19 = 110,055.19 : x
  2. Step 2: Convert to fraction form
    200,704.63/276,976.19 = 110,055.19/x
  3. Step 3: Cross multiply
    200,704.63x = 276,976.19 × 110,055.19
  4. Step 4: Simplify right side
    200,704.63x = 30,482,667,215.93
  5. Step 5: Solve for x
    x = 30,482,667,215.93/200,704.63
  6. Step 6: Final answer
    x = 151,878.25

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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.