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Finding the Fourth Proportional to 205,446.35, 283,514.57 and 114,802.54

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Solution

The fourth proportional to 205,446.35, 283,514.57 and 114,802.54 is: 158,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446.35 : 283,514.57 = 114,802.54 : x
  2. Step 2: Convert to fraction form
    205,446.35/283,514.57 = 114,802.54/x
  3. Step 3: Cross multiply
    205,446.35x = 283,514.57 × 114,802.54
  4. Step 4: Simplify right side
    205,446.35x = 32,548,191,345.44
  5. Step 5: Solve for x
    x = 32,548,191,345.44/205,446.35
  6. Step 6: Final answer
    x = 158,426.72

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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.