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Finding the Fourth Proportional to 200,185.31, 276,247.47 and 119,657.24

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Solution

The fourth proportional to 200,185.31, 276,247.47 and 119,657.24 is: 165,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,185.31 : 276,247.47 = 119,657.24 : x
  2. Step 2: Convert to fraction form
    200,185.31/276,247.47 = 119,657.24/x
  3. Step 3: Cross multiply
    200,185.31x = 276,247.47 × 119,657.24
  4. Step 4: Simplify right side
    200,185.31x = 33,055,009,817.18
  5. Step 5: Solve for x
    x = 33,055,009,817.18/200,185.31
  6. Step 6: Final answer
    x = 165,122.06

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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.