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Finding the Fourth Proportional to 222,559.88, 306,965.10 and 154,576.94

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Solution

The fourth proportional to 222,559.88, 306,965.10 and 154,576.94 is: 213,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,559.88 : 306,965.10 = 154,576.94 : x
  2. Step 2: Convert to fraction form
    222,559.88/306,965.10 = 154,576.94/x
  3. Step 3: Cross multiply
    222,559.88x = 306,965.10 × 154,576.94
  4. Step 4: Simplify right side
    222,559.88x = 47,449,725,844.79
  5. Step 5: Solve for x
    x = 47,449,725,844.79/222,559.88
  6. Step 6: Final answer
    x = 213,199.82

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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.