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Finding the Fourth Proportional to 265,887.92, 367,104.99 and 204,525.14

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Solution

The fourth proportional to 265,887.92, 367,104.99 and 204,525.14 is: 282,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,887.92 : 367,104.99 = 204,525.14 : x
  2. Step 2: Convert to fraction form
    265,887.92/367,104.99 = 204,525.14/x
  3. Step 3: Cross multiply
    265,887.92x = 367,104.99 × 204,525.14
  4. Step 4: Simplify right side
    265,887.92x = 75,082,199,474.45
  5. Step 5: Solve for x
    x = 75,082,199,474.45/265,887.92
  6. Step 6: Final answer
    x = 282,382.89

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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.