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Finding the Fourth Proportional to 200,279.49, 276,416.06 and 114,238.05

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Solution

The fourth proportional to 200,279.49, 276,416.06 and 114,238.05 is: 157,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,279.49 : 276,416.06 = 114,238.05 : x
  2. Step 2: Convert to fraction form
    200,279.49/276,416.06 = 114,238.05/x
  3. Step 3: Cross multiply
    200,279.49x = 276,416.06 × 114,238.05
  4. Step 4: Simplify right side
    200,279.49x = 31,577,231,111.89
  5. Step 5: Solve for x
    x = 31,577,231,111.89/200,279.49
  6. Step 6: Final answer
    x = 157,665.83

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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.