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Finding the Fourth Proportional to 192,456.84, 265,584.93 and 106,414.32

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Solution

The fourth proportional to 192,456.84, 265,584.93 and 106,414.32 is: 146,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456.84 : 265,584.93 = 106,414.32 : x
  2. Step 2: Convert to fraction form
    192,456.84/265,584.93 = 106,414.32/x
  3. Step 3: Cross multiply
    192,456.84x = 265,584.93 × 106,414.32
  4. Step 4: Simplify right side
    192,456.84x = 28,262,040,325.09
  5. Step 5: Solve for x
    x = 28,262,040,325.09/192,456.84
  6. Step 6: Final answer
    x = 146,848.72

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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.