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Finding the Fourth Proportional to 227,427.30, 313,786.71 and 146,858.22

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Solution

The fourth proportional to 227,427.30, 313,786.71 and 146,858.22 is: 202,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,427.30 : 313,786.71 = 146,858.22 : x
  2. Step 2: Convert to fraction form
    227,427.30/313,786.71 = 146,858.22/x
  3. Step 3: Cross multiply
    227,427.30x = 313,786.71 × 146,858.22
  4. Step 4: Simplify right side
    227,427.30x = 46,082,157,690.26
  5. Step 5: Solve for x
    x = 46,082,157,690.26/227,427.30
  6. Step 6: Final answer
    x = 202,623.69

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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.