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Finding the Fourth Proportional to 233,058.72, 321,623.28 and 132,457.44

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Solution

The fourth proportional to 233,058.72, 321,623.28 and 132,457.44 is: 182,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,058.72 : 321,623.28 = 132,457.44 : x
  2. Step 2: Convert to fraction form
    233,058.72/321,623.28 = 132,457.44/x
  3. Step 3: Cross multiply
    233,058.72x = 321,623.28 × 132,457.44
  4. Step 4: Simplify right side
    233,058.72x = 42,601,396,313.20
  5. Step 5: Solve for x
    x = 42,601,396,313.20/233,058.72
  6. Step 6: Final answer
    x = 182,792.54

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Why These Related Problems?

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