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Finding the Fourth Proportional to 127,968, 176,584.77 and 82,647.96

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Solution

The fourth proportional to 127,968, 176,584.77 and 82,647.96 is: 114,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968 : 176,584.77 = 82,647.96 : x
  2. Step 2: Convert to fraction form
    127,968/176,584.77 = 82,647.96/x
  3. Step 3: Cross multiply
    127,968x = 176,584.77 × 82,647.96
  4. Step 4: Simplify right side
    127,968x = 14,594,371,007.57
  5. Step 5: Solve for x
    x = 14,594,371,007.57/127,968
  6. Step 6: Final answer
    x = 114,047.04

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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.