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Finding the Fourth Proportional to 200,458.56, 276,632.01 and 109,814.40

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Solution

The fourth proportional to 200,458.56, 276,632.01 and 109,814.40 is: 151,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,458.56 : 276,632.01 = 109,814.40 : x
  2. Step 2: Convert to fraction form
    200,458.56/276,632.01 = 109,814.40/x
  3. Step 3: Cross multiply
    200,458.56x = 276,632.01 × 109,814.40
  4. Step 4: Simplify right side
    200,458.56x = 30,378,178,198.94
  5. Step 5: Solve for x
    x = 30,378,178,198.94/200,458.56
  6. Step 6: Final answer
    x = 151,543.43

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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.