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Finding the Fourth Proportional to 222,023.67, 306,392 and 120,048.40

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Solution

The fourth proportional to 222,023.67, 306,392 and 120,048.40 is: 165,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,023.67 : 306,392 = 120,048.40 : x
  2. Step 2: Convert to fraction form
    222,023.67/306,392 = 120,048.40/x
  3. Step 3: Cross multiply
    222,023.67x = 306,392 × 120,048.40
  4. Step 4: Simplify right side
    222,023.67x = 36,781,869,372.80
  5. Step 5: Solve for x
    x = 36,781,869,372.80/222,023.67
  6. Step 6: Final answer
    x = 165,666.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.