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Finding the Fourth Proportional to 265,137, 365,828.43 and 150,388.26

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Solution

The fourth proportional to 265,137, 365,828.43 and 150,388.26 is: 207,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,137 : 365,828.43 = 150,388.26 : x
  2. Step 2: Convert to fraction form
    265,137/365,828.43 = 150,388.26/x
  3. Step 3: Cross multiply
    265,137x = 365,828.43 × 150,388.26
  4. Step 4: Simplify right side
    265,137x = 55,016,301,046.23
  5. Step 5: Solve for x
    x = 55,016,301,046.23/265,137
  6. Step 6: Final answer
    x = 207,501.41

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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.