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Finding the Fourth Proportional to 239,132.26, 330,016.37 and 137,157

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Solution

The fourth proportional to 239,132.26, 330,016.37 and 137,157 is: 189,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,132.26 : 330,016.37 = 137,157 : x
  2. Step 2: Convert to fraction form
    239,132.26/330,016.37 = 137,157/x
  3. Step 3: Cross multiply
    239,132.26x = 330,016.37 × 137,157
  4. Step 4: Simplify right side
    239,132.26x = 45,264,055,260.09
  5. Step 5: Solve for x
    x = 45,264,055,260.09/239,132.26
  6. Step 6: Final answer
    x = 189,284.60

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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.