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Finding the Fourth Proportional to 200,011.63, 276,016.03 and 109,367.66

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Solution

The fourth proportional to 200,011.63, 276,016.03 and 109,367.66 is: 150,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,011.63 : 276,016.03 = 109,367.66 : x
  2. Step 2: Convert to fraction form
    200,011.63/276,016.03 = 109,367.66/x
  3. Step 3: Cross multiply
    200,011.63x = 276,016.03 × 109,367.66
  4. Step 4: Simplify right side
    200,011.63x = 30,187,227,323.59
  5. Step 5: Solve for x
    x = 30,187,227,323.59/200,011.63
  6. Step 6: Final answer
    x = 150,927.36

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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.