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Finding the Fourth Proportional to 223,714.44, 308,786.58 and 131,913.90

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Solution

The fourth proportional to 223,714.44, 308,786.58 and 131,913.90 is: 182,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,714.44 : 308,786.58 = 131,913.90 : x
  2. Step 2: Convert to fraction form
    223,714.44/308,786.58 = 131,913.90/x
  3. Step 3: Cross multiply
    223,714.44x = 308,786.58 × 131,913.90
  4. Step 4: Simplify right side
    223,714.44x = 40,733,242,035.46
  5. Step 5: Solve for x
    x = 40,733,242,035.46/223,714.44
  6. Step 6: Final answer
    x = 182,076.95

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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.