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Finding the Fourth Proportional to 201,993.84, 278,738.80 and 111,350.56

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Solution

The fourth proportional to 201,993.84, 278,738.80 and 111,350.56 is: 153,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,993.84 : 278,738.80 = 111,350.56 : x
  2. Step 2: Convert to fraction form
    201,993.84/278,738.80 = 111,350.56/x
  3. Step 3: Cross multiply
    201,993.84x = 278,738.80 × 111,350.56
  4. Step 4: Simplify right side
    201,993.84x = 31,037,721,473.73
  5. Step 5: Solve for x
    x = 31,037,721,473.73/201,993.84
  6. Step 6: Final answer
    x = 153,656.77

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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.