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Finding the Fourth Proportional to 223,081.76, 306,668.98 and 191,923.14

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Solution

The fourth proportional to 223,081.76, 306,668.98 and 191,923.14 is: 263,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,081.76 : 306,668.98 = 191,923.14 : x
  2. Step 2: Convert to fraction form
    223,081.76/306,668.98 = 191,923.14/x
  3. Step 3: Cross multiply
    223,081.76x = 306,668.98 × 191,923.14
  4. Step 4: Simplify right side
    223,081.76x = 58,856,873,582.20
  5. Step 5: Solve for x
    x = 58,856,873,582.20/223,081.76
  6. Step 6: Final answer
    x = 263,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.