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Finding the Fourth Proportional to 204,796, 282,618.48 and 115,372

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Solution

The fourth proportional to 204,796, 282,618.48 and 115,372 is: 159,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,796 : 282,618.48 = 115,372 : x
  2. Step 2: Convert to fraction form
    204,796/282,618.48 = 115,372/x
  3. Step 3: Cross multiply
    204,796x = 282,618.48 × 115,372
  4. Step 4: Simplify right side
    204,796x = 32,606,259,274.56
  5. Step 5: Solve for x
    x = 32,606,259,274.56/204,796
  6. Step 6: Final answer
    x = 159,213.36

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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.