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Finding the Fourth Proportional to 265,886.92, 367,103.61 and 204,524.14

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Solution

The fourth proportional to 265,886.92, 367,103.61 and 204,524.14 is: 282,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,886.92 : 367,103.61 = 204,524.14 : x
  2. Step 2: Convert to fraction form
    265,886.92/367,103.61 = 204,524.14/x
  3. Step 3: Cross multiply
    265,886.92x = 367,103.61 × 204,524.14
  4. Step 4: Simplify right side
    265,886.92x = 75,081,550,126.15
  5. Step 5: Solve for x
    x = 75,081,550,126.15/265,886.92
  6. Step 6: Final answer
    x = 282,381.51

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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.