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Finding the Fourth Proportional to 238,507.44, 329,101.56 and 137,886

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Solution

The fourth proportional to 238,507.44, 329,101.56 and 137,886 is: 190,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,507.44 : 329,101.56 = 137,886 : x
  2. Step 2: Convert to fraction form
    238,507.44/329,101.56 = 137,886/x
  3. Step 3: Cross multiply
    238,507.44x = 329,101.56 × 137,886
  4. Step 4: Simplify right side
    238,507.44x = 45,378,497,702.16
  5. Step 5: Solve for x
    x = 45,378,497,702.16/238,507.44
  6. Step 6: Final answer
    x = 190,260.30

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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.