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Finding the Fourth Proportional to 223,262.44, 334,894.46 and 54,783.88

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Solution

The fourth proportional to 223,262.44, 334,894.46 and 54,783.88 is: 82,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,262.44 : 334,894.46 = 54,783.88 : x
  2. Step 2: Convert to fraction form
    223,262.44/334,894.46 = 54,783.88/x
  3. Step 3: Cross multiply
    223,262.44x = 334,894.46 × 54,783.88
  4. Step 4: Simplify right side
    223,262.44x = 18,346,817,909.30
  5. Step 5: Solve for x
    x = 18,346,817,909.30/223,262.44
  6. Step 6: Final answer
    x = 82,176.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.