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Finding the Fourth Proportional to 200,889.06, 277,224.33 and 110,245.86

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Solution

The fourth proportional to 200,889.06, 277,224.33 and 110,245.86 is: 152,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,889.06 : 277,224.33 = 110,245.86 : x
  2. Step 2: Convert to fraction form
    200,889.06/277,224.33 = 110,245.86/x
  3. Step 3: Cross multiply
    200,889.06x = 277,224.33 × 110,245.86
  4. Step 4: Simplify right side
    200,889.06x = 30,562,834,673.77
  5. Step 5: Solve for x
    x = 30,562,834,673.77/200,889.06
  6. Step 6: Final answer
    x = 152,137.87

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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.