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Finding the Fourth Proportional to 233,967.23, 322,914.47 and 132,021.59

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Solution

The fourth proportional to 233,967.23, 322,914.47 and 132,021.59 is: 182,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,967.23 : 322,914.47 = 132,021.59 : x
  2. Step 2: Convert to fraction form
    233,967.23/322,914.47 = 132,021.59/x
  3. Step 3: Cross multiply
    233,967.23x = 322,914.47 × 132,021.59
  4. Step 4: Simplify right side
    233,967.23x = 42,631,680,478.89
  5. Step 5: Solve for x
    x = 42,631,680,478.89/233,967.23
  6. Step 6: Final answer
    x = 182,212.19

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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.