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Finding the Fourth Proportional to 192,955.46, 289,461.21 and 59,846.44

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Solution

The fourth proportional to 192,955.46, 289,461.21 and 59,846.44 is: 89,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,955.46 : 289,461.21 = 59,846.44 : x
  2. Step 2: Convert to fraction form
    192,955.46/289,461.21 = 59,846.44/x
  3. Step 3: Cross multiply
    192,955.46x = 289,461.21 × 59,846.44
  4. Step 4: Simplify right side
    192,955.46x = 17,323,222,867.89
  5. Step 5: Solve for x
    x = 17,323,222,867.89/192,955.46
  6. Step 6: Final answer
    x = 89,778.35

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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.