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Finding the Fourth Proportional to 223,207.98, 334,811.97 and 98,524.14

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Solution

The fourth proportional to 223,207.98, 334,811.97 and 98,524.14 is: 147,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,207.98 : 334,811.97 = 98,524.14 : x
  2. Step 2: Convert to fraction form
    223,207.98/334,811.97 = 98,524.14/x
  3. Step 3: Cross multiply
    223,207.98x = 334,811.97 × 98,524.14
  4. Step 4: Simplify right side
    223,207.98x = 32,987,061,405.96
  5. Step 5: Solve for x
    x = 32,987,061,405.96/223,207.98
  6. Step 6: Final answer
    x = 147,786.21

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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.