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Finding the Fourth Proportional to 233,447.66, 322,153.38 and 142,796.97

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Solution

The fourth proportional to 233,447.66, 322,153.38 and 142,796.97 is: 197,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,447.66 : 322,153.38 = 142,796.97 : x
  2. Step 2: Convert to fraction form
    233,447.66/322,153.38 = 142,796.97/x
  3. Step 3: Cross multiply
    233,447.66x = 322,153.38 × 142,796.97
  4. Step 4: Simplify right side
    233,447.66x = 46,002,526,539.26
  5. Step 5: Solve for x
    x = 46,002,526,539.26/233,447.66
  6. Step 6: Final answer
    x = 197,057.14

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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.