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Finding the Fourth Proportional to 222,755.20, 334,132.80 and 56,543.20

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Solution

The fourth proportional to 222,755.20, 334,132.80 and 56,543.20 is: 84,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,755.20 : 334,132.80 = 56,543.20 : x
  2. Step 2: Convert to fraction form
    222,755.20/334,132.80 = 56,543.20/x
  3. Step 3: Cross multiply
    222,755.20x = 334,132.80 × 56,543.20
  4. Step 4: Simplify right side
    222,755.20x = 18,892,937,736.96
  5. Step 5: Solve for x
    x = 18,892,937,736.96/222,755.20
  6. Step 6: Final answer
    x = 84,814.80

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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.