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Finding the Fourth Proportional to 201,257.62, 277,738.76 and 115,216.26

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Solution

The fourth proportional to 201,257.62, 277,738.76 and 115,216.26 is: 159,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257.62 : 277,738.76 = 115,216.26 : x
  2. Step 2: Convert to fraction form
    201,257.62/277,738.76 = 115,216.26/x
  3. Step 3: Cross multiply
    201,257.62x = 277,738.76 × 115,216.26
  4. Step 4: Simplify right side
    201,257.62x = 32,000,021,184.24
  5. Step 5: Solve for x
    x = 32,000,021,184.24/201,257.62
  6. Step 6: Final answer
    x = 159,000.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.