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Finding the Fourth Proportional to 223,019.24, 334,458.38 and 73,234.84

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Solution

The fourth proportional to 223,019.24, 334,458.38 and 73,234.84 is: 109,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,019.24 : 334,458.38 = 73,234.84 : x
  2. Step 2: Convert to fraction form
    223,019.24/334,458.38 = 73,234.84/x
  3. Step 3: Cross multiply
    223,019.24x = 334,458.38 × 73,234.84
  4. Step 4: Simplify right side
    223,019.24x = 24,494,005,945.96
  5. Step 5: Solve for x
    x = 24,494,005,945.96/223,019.24
  6. Step 6: Final answer
    x = 109,829.12

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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.