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Finding the Fourth Proportional to 200,808.24, 276,583.23 and 149,657.34

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Solution

The fourth proportional to 200,808.24, 276,583.23 and 149,657.34 is: 206,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808.24 : 276,583.23 = 149,657.34 : x
  2. Step 2: Convert to fraction form
    200,808.24/276,583.23 = 149,657.34/x
  3. Step 3: Cross multiply
    200,808.24x = 276,583.23 × 149,657.34
  4. Step 4: Simplify right side
    200,808.24x = 41,392,710,490.41
  5. Step 5: Solve for x
    x = 41,392,710,490.41/200,808.24
  6. Step 6: Final answer
    x = 206,130.54

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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.