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Finding the Fourth Proportional to 222,855.30, 334,283.67 and 56,643.30

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Solution

The fourth proportional to 222,855.30, 334,283.67 and 56,643.30 is: 84,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,855.30 : 334,283.67 = 56,643.30 : x
  2. Step 2: Convert to fraction form
    222,855.30/334,283.67 = 56,643.30/x
  3. Step 3: Cross multiply
    222,855.30x = 334,283.67 × 56,643.30
  4. Step 4: Simplify right side
    222,855.30x = 18,934,930,204.91
  5. Step 5: Solve for x
    x = 18,934,930,204.91/222,855.30
  6. Step 6: Final answer
    x = 84,965.13

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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.