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Finding the Fourth Proportional to 222,234.51, 306,681.27 and 120,257.73

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Solution

The fourth proportional to 222,234.51, 306,681.27 and 120,257.73 is: 165,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,234.51 : 306,681.27 = 120,257.73 : x
  2. Step 2: Convert to fraction form
    222,234.51/306,681.27 = 120,257.73/x
  3. Step 3: Cross multiply
    222,234.51x = 306,681.27 × 120,257.73
  4. Step 4: Simplify right side
    222,234.51x = 36,880,793,363.72
  5. Step 5: Solve for x
    x = 36,880,793,363.72/222,234.51
  6. Step 6: Final answer
    x = 165,954.39

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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.