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Finding the Fourth Proportional to 192,676.34, 265,895.26 and 116,199.38

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Solution

The fourth proportional to 192,676.34, 265,895.26 and 116,199.38 is: 160,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,676.34 : 265,895.26 = 116,199.38 : x
  2. Step 2: Convert to fraction form
    192,676.34/265,895.26 = 116,199.38/x
  3. Step 3: Cross multiply
    192,676.34x = 265,895.26 × 116,199.38
  4. Step 4: Simplify right side
    192,676.34x = 30,896,864,356.94
  5. Step 5: Solve for x
    x = 30,896,864,356.94/192,676.34
  6. Step 6: Final answer
    x = 160,356.30

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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.