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Finding the Fourth Proportional to 200,731.72, 276,930.74 and 115,832.38

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Solution

The fourth proportional to 200,731.72, 276,930.74 and 115,832.38 is: 159,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.72 : 276,930.74 = 115,832.38 : x
  2. Step 2: Convert to fraction form
    200,731.72/276,930.74 = 115,832.38/x
  3. Step 3: Cross multiply
    200,731.72x = 276,930.74 × 115,832.38
  4. Step 4: Simplify right side
    200,731.72x = 32,077,546,709.36
  5. Step 5: Solve for x
    x = 32,077,546,709.36/200,731.72
  6. Step 6: Final answer
    x = 159,803.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.