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Finding the Fourth Proportional to 233,542.44, 322,312.37 and 142,958.27

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Solution

The fourth proportional to 233,542.44, 322,312.37 and 142,958.27 is: 197,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,542.44 : 322,312.37 = 142,958.27 : x
  2. Step 2: Convert to fraction form
    233,542.44/322,312.37 = 142,958.27/x
  3. Step 3: Cross multiply
    233,542.44x = 322,312.37 × 142,958.27
  4. Step 4: Simplify right side
    233,542.44x = 46,077,218,298.99
  5. Step 5: Solve for x
    x = 46,077,218,298.99/233,542.44
  6. Step 6: Final answer
    x = 197,296.98

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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.