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Finding the Fourth Proportional to 233,912.16, 322,714.80 and 133,251.84

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Solution

The fourth proportional to 233,912.16, 322,714.80 and 133,251.84 is: 183,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,912.16 : 322,714.80 = 133,251.84 : x
  2. Step 2: Convert to fraction form
    233,912.16/322,714.80 = 133,251.84/x
  3. Step 3: Cross multiply
    233,912.16x = 322,714.80 × 133,251.84
  4. Step 4: Simplify right side
    233,912.16x = 43,002,340,895.23
  5. Step 5: Solve for x
    x = 43,002,340,895.23/233,912.16
  6. Step 6: Final answer
    x = 183,839.70

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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.