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Finding the Fourth Proportional to 223,847.88, 335,771.82 and 153,513.96

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Solution

The fourth proportional to 223,847.88, 335,771.82 and 153,513.96 is: 230,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,847.88 : 335,771.82 = 153,513.96 : x
  2. Step 2: Convert to fraction form
    223,847.88/335,771.82 = 153,513.96/x
  3. Step 3: Cross multiply
    223,847.88x = 335,771.82 × 153,513.96
  4. Step 4: Simplify right side
    223,847.88x = 51,545,661,744.61
  5. Step 5: Solve for x
    x = 51,545,661,744.61/223,847.88
  6. Step 6: Final answer
    x = 230,270.94

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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.