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Finding the Fourth Proportional to 233,243.96, 321,796.11 and 141,392.69

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Solution

The fourth proportional to 233,243.96, 321,796.11 and 141,392.69 is: 195,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,243.96 : 321,796.11 = 141,392.69 : x
  2. Step 2: Convert to fraction form
    233,243.96/321,796.11 = 141,392.69/x
  3. Step 3: Cross multiply
    233,243.96x = 321,796.11 × 141,392.69
  4. Step 4: Simplify right side
    233,243.96x = 45,499,616,957.08
  5. Step 5: Solve for x
    x = 45,499,616,957.08/233,243.96
  6. Step 6: Final answer
    x = 195,073.08

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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.