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Finding the Fourth Proportional to 202,105.90, 302,830.80 and 127,091.80

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Solution

The fourth proportional to 202,105.90, 302,830.80 and 127,091.80 is: 190,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105.90 : 302,830.80 = 127,091.80 : x
  2. Step 2: Convert to fraction form
    202,105.90/302,830.80 = 127,091.80/x
  3. Step 3: Cross multiply
    202,105.90x = 302,830.80 × 127,091.80
  4. Step 4: Simplify right side
    202,105.90x = 38,487,311,467.44
  5. Step 5: Solve for x
    x = 38,487,311,467.44/202,105.90
  6. Step 6: Final answer
    x = 190,431.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.