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Finding the Fourth Proportional to 201,764.80, 302,574.30 and 81,771.40

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Solution

The fourth proportional to 201,764.80, 302,574.30 and 81,771.40 is: 122,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764.80 : 302,574.30 = 81,771.40 : x
  2. Step 2: Convert to fraction form
    201,764.80/302,574.30 = 81,771.40/x
  3. Step 3: Cross multiply
    201,764.80x = 302,574.30 × 81,771.40
  4. Step 4: Simplify right side
    201,764.80x = 24,741,924,115.02
  5. Step 5: Solve for x
    x = 24,741,924,115.02/201,764.80
  6. Step 6: Final answer
    x = 122,627.56

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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.