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Finding the Fourth Proportional to 201,297.85, 277,794.49 and 110,657.64

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Solution

The fourth proportional to 201,297.85, 277,794.49 and 110,657.64 is: 152,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.85 : 277,794.49 = 110,657.64 : x
  2. Step 2: Convert to fraction form
    201,297.85/277,794.49 = 110,657.64/x
  3. Step 3: Cross multiply
    201,297.85x = 277,794.49 × 110,657.64
  4. Step 4: Simplify right side
    201,297.85x = 30,740,082,668.40
  5. Step 5: Solve for x
    x = 30,740,082,668.40/201,297.85
  6. Step 6: Final answer
    x = 152,709.44

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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.