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Finding the Fourth Proportional to 201,910.40, 302,865.60 and 138,924.80

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Solution

The fourth proportional to 201,910.40, 302,865.60 and 138,924.80 is: 208,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910.40 : 302,865.60 = 138,924.80 : x
  2. Step 2: Convert to fraction form
    201,910.40/302,865.60 = 138,924.80/x
  3. Step 3: Cross multiply
    201,910.40x = 302,865.60 × 138,924.80
  4. Step 4: Simplify right side
    201,910.40x = 42,075,542,906.88
  5. Step 5: Solve for x
    x = 42,075,542,906.88/201,910.40
  6. Step 6: Final answer
    x = 208,387.20

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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.