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Finding the Fourth Proportional to 222,442.86, 333,664.29 and 56,230.86

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Solution

The fourth proportional to 222,442.86, 333,664.29 and 56,230.86 is: 84,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,442.86 : 333,664.29 = 56,230.86 : x
  2. Step 2: Convert to fraction form
    222,442.86/333,664.29 = 56,230.86/x
  3. Step 3: Cross multiply
    222,442.86x = 333,664.29 × 56,230.86
  4. Step 4: Simplify right side
    222,442.86x = 18,762,229,977.99
  5. Step 5: Solve for x
    x = 18,762,229,977.99/222,442.86
  6. Step 6: Final answer
    x = 84,346.29

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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.