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Finding the Fourth Proportional to 227,494.17, 341,240.97 and 101,105.01

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Solution

The fourth proportional to 227,494.17, 341,240.97 and 101,105.01 is: 151,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,494.17 : 341,240.97 = 101,105.01 : x
  2. Step 2: Convert to fraction form
    227,494.17/341,240.97 = 101,105.01/x
  3. Step 3: Cross multiply
    227,494.17x = 341,240.97 × 101,105.01
  4. Step 4: Simplify right side
    227,494.17x = 34,501,171,684.26
  5. Step 5: Solve for x
    x = 34,501,171,684.26/227,494.17
  6. Step 6: Final answer
    x = 151,657.39

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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.