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Finding the Fourth Proportional to 200,257.76, 276,358.56 and 110,833.76

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Solution

The fourth proportional to 200,257.76, 276,358.56 and 110,833.76 is: 152,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,257.76 : 276,358.56 = 110,833.76 : x
  2. Step 2: Convert to fraction form
    200,257.76/276,358.56 = 110,833.76/x
  3. Step 3: Cross multiply
    200,257.76x = 276,358.56 × 110,833.76
  4. Step 4: Simplify right side
    200,257.76x = 30,629,858,312.99
  5. Step 5: Solve for x
    x = 30,629,858,312.99/200,257.76
  6. Step 6: Final answer
    x = 152,952.17

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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.