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Finding the Fourth Proportional to 265,850.81, 397,839.45 and 166,058

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Solution

The fourth proportional to 265,850.81, 397,839.45 and 166,058 is: 248,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,850.81 : 397,839.45 = 166,058 : x
  2. Step 2: Convert to fraction form
    265,850.81/397,839.45 = 166,058/x
  3. Step 3: Cross multiply
    265,850.81x = 397,839.45 × 166,058
  4. Step 4: Simplify right side
    265,850.81x = 66,064,423,388.10
  5. Step 5: Solve for x
    x = 66,064,423,388.10/265,850.81
  6. Step 6: Final answer
    x = 248,501.87

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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.