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Finding the Fourth Proportional to 201,382.88, 277,902.45 and 110,738.75

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Solution

The fourth proportional to 201,382.88, 277,902.45 and 110,738.75 is: 152,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.88 : 277,902.45 = 110,738.75 : x
  2. Step 2: Convert to fraction form
    201,382.88/277,902.45 = 110,738.75/x
  3. Step 3: Cross multiply
    201,382.88x = 277,902.45 × 110,738.75
  4. Step 4: Simplify right side
    201,382.88x = 30,774,568,545.43
  5. Step 5: Solve for x
    x = 30,774,568,545.43/201,382.88
  6. Step 6: Final answer
    x = 152,816.21

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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.