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Finding the Fourth Proportional to 233,684.34, 322,106.60 and 182,608.32

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Solution

The fourth proportional to 233,684.34, 322,106.60 and 182,608.32 is: 251,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,684.34 : 322,106.60 = 182,608.32 : x
  2. Step 2: Convert to fraction form
    233,684.34/322,106.60 = 182,608.32/x
  3. Step 3: Cross multiply
    233,684.34x = 322,106.60 × 182,608.32
  4. Step 4: Simplify right side
    233,684.34x = 58,819,345,086.91
  5. Step 5: Solve for x
    x = 58,819,345,086.91/233,684.34
  6. Step 6: Final answer
    x = 251,704.27

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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.