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Finding the Fourth Proportional to 137,072.58, 205,040.25 and 128,674.50

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Solution

The fourth proportional to 137,072.58, 205,040.25 and 128,674.50 is: 192,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.58 : 205,040.25 = 128,674.50 : x
  2. Step 2: Convert to fraction form
    137,072.58/205,040.25 = 128,674.50/x
  3. Step 3: Cross multiply
    137,072.58x = 205,040.25 × 128,674.50
  4. Step 4: Simplify right side
    137,072.58x = 26,383,451,648.63
  5. Step 5: Solve for x
    x = 26,383,451,648.63/137,072.58
  6. Step 6: Final answer
    x = 192,477.97

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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.