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Finding the Fourth Proportional to 200,866.74, 277,195.34 and 110,224.22

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Solution

The fourth proportional to 200,866.74, 277,195.34 and 110,224.22 is: 152,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.74 : 277,195.34 = 110,224.22 : x
  2. Step 2: Convert to fraction form
    200,866.74/277,195.34 = 110,224.22/x
  3. Step 3: Cross multiply
    200,866.74x = 277,195.34 × 110,224.22
  4. Step 4: Simplify right side
    200,866.74x = 30,553,640,556.56
  5. Step 5: Solve for x
    x = 30,553,640,556.56/200,866.74
  6. Step 6: Final answer
    x = 152,109.01

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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.