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Finding the Fourth Proportional to 200,258.92, 276,426.30 and 115,409.80

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Solution

The fourth proportional to 200,258.92, 276,426.30 and 115,409.80 is: 159,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,258.92 : 276,426.30 = 115,409.80 : x
  2. Step 2: Convert to fraction form
    200,258.92/276,426.30 = 115,409.80/x
  3. Step 3: Cross multiply
    200,258.92x = 276,426.30 × 115,409.80
  4. Step 4: Simplify right side
    200,258.92x = 31,902,303,997.74
  5. Step 5: Solve for x
    x = 31,902,303,997.74/200,258.92
  6. Step 6: Final answer
    x = 159,305.28

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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.