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Finding the Fourth Proportional to 233,921, 322,810.42 and 131,946.12

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Solution

The fourth proportional to 233,921, 322,810.42 and 131,946.12 is: 182,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,921 : 322,810.42 = 131,946.12 : x
  2. Step 2: Convert to fraction form
    233,921/322,810.42 = 131,946.12/x
  3. Step 3: Cross multiply
    233,921x = 322,810.42 × 131,946.12
  4. Step 4: Simplify right side
    233,921x = 42,593,582,414.57
  5. Step 5: Solve for x
    x = 42,593,582,414.57/233,921
  6. Step 6: Final answer
    x = 182,085.33

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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.