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Finding the Fourth Proportional to 205,446.96, 283,518.44 and 116,022.96

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Solution

The fourth proportional to 205,446.96, 283,518.44 and 116,022.96 is: 160,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446.96 : 283,518.44 = 116,022.96 : x
  2. Step 2: Convert to fraction form
    205,446.96/283,518.44 = 116,022.96/x
  3. Step 3: Cross multiply
    205,446.96x = 283,518.44 × 116,022.96
  4. Step 4: Simplify right side
    205,446.96x = 32,894,648,623.38
  5. Step 5: Solve for x
    x = 32,894,648,623.38/205,446.96
  6. Step 6: Final answer
    x = 160,112.61

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1.5x scale

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.