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Finding the Fourth Proportional to 204,994.26, 282,894.21 and 114,358.50

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Solution

The fourth proportional to 204,994.26, 282,894.21 and 114,358.50 is: 157,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,994.26 : 282,894.21 = 114,358.50 : x
  2. Step 2: Convert to fraction form
    204,994.26/282,894.21 = 114,358.50/x
  3. Step 3: Cross multiply
    204,994.26x = 282,894.21 × 114,358.50
  4. Step 4: Simplify right side
    204,994.26x = 32,351,357,514.29
  5. Step 5: Solve for x
    x = 32,351,357,514.29/204,994.26
  6. Step 6: Final answer
    x = 157,815.92

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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.