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Finding the Fourth Proportional to 223,231.20, 334,846.80 and 57,019.20

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Solution

The fourth proportional to 223,231.20, 334,846.80 and 57,019.20 is: 85,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,231.20 : 334,846.80 = 57,019.20 : x
  2. Step 2: Convert to fraction form
    223,231.20/334,846.80 = 57,019.20/x
  3. Step 3: Cross multiply
    223,231.20x = 334,846.80 × 57,019.20
  4. Step 4: Simplify right side
    223,231.20x = 19,092,696,658.56
  5. Step 5: Solve for x
    x = 19,092,696,658.56/223,231.20
  6. Step 6: Final answer
    x = 85,528.80

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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.