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Finding the Fourth Proportional to 233,093.88, 321,647.13 and 142,541.31

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Solution

The fourth proportional to 233,093.88, 321,647.13 and 142,541.31 is: 196,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,093.88 : 321,647.13 = 142,541.31 : x
  2. Step 2: Convert to fraction form
    233,093.88/321,647.13 = 142,541.31/x
  3. Step 3: Cross multiply
    233,093.88x = 321,647.13 × 142,541.31
  4. Step 4: Simplify right side
    233,093.88x = 45,848,004,298.07
  5. Step 5: Solve for x
    x = 45,848,004,298.07/233,093.88
  6. Step 6: Final answer
    x = 196,693.30

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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.