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Finding the Fourth Proportional to 201,629.82, 302,241.42 and 126,803.43

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Solution

The fourth proportional to 201,629.82, 302,241.42 and 126,803.43 is: 190,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.82 : 302,241.42 = 126,803.43 : x
  2. Step 2: Convert to fraction form
    201,629.82/302,241.42 = 126,803.43/x
  3. Step 3: Cross multiply
    201,629.82x = 302,241.42 × 126,803.43
  4. Step 4: Simplify right side
    201,629.82x = 38,325,248,744.07
  5. Step 5: Solve for x
    x = 38,325,248,744.07/201,629.82
  6. Step 6: Final answer
    x = 190,077.28

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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.