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Finding the Fourth Proportional to 201,266.44, 277,748.22 and 111,842.44

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Solution

The fourth proportional to 201,266.44, 277,748.22 and 111,842.44 is: 154,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,266.44 : 277,748.22 = 111,842.44 : x
  2. Step 2: Convert to fraction form
    201,266.44/277,748.22 = 111,842.44/x
  3. Step 3: Cross multiply
    201,266.44x = 277,748.22 × 111,842.44
  4. Step 4: Simplify right side
    201,266.44x = 31,064,038,355.50
  5. Step 5: Solve for x
    x = 31,064,038,355.50/201,266.44
  6. Step 6: Final answer
    x = 154,342.86

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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.