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Finding the Fourth Proportional to 222,859.80, 334,290.42 and 56,647.80

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Solution

The fourth proportional to 222,859.80, 334,290.42 and 56,647.80 is: 84,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,859.80 : 334,290.42 = 56,647.80 : x
  2. Step 2: Convert to fraction form
    222,859.80/334,290.42 = 56,647.80/x
  3. Step 3: Cross multiply
    222,859.80x = 334,290.42 × 56,647.80
  4. Step 4: Simplify right side
    222,859.80x = 18,936,816,854.08
  5. Step 5: Solve for x
    x = 18,936,816,854.08/222,859.80
  6. Step 6: Final answer
    x = 84,971.88

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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.