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Finding the Fourth Proportional to 233,708.56, 322,673.52 and 138,245.92

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Solution

The fourth proportional to 233,708.56, 322,673.52 and 138,245.92 is: 190,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,708.56 : 322,673.52 = 138,245.92 : x
  2. Step 2: Convert to fraction form
    233,708.56/322,673.52 = 138,245.92/x
  3. Step 3: Cross multiply
    233,708.56x = 322,673.52 × 138,245.92
  4. Step 4: Simplify right side
    233,708.56x = 44,608,297,632.04
  5. Step 5: Solve for x
    x = 44,608,297,632.04/233,708.56
  6. Step 6: Final answer
    x = 190,871.48

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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.