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Finding the Fourth Proportional to 127,969, 176,586.15 and 82,648.96

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Solution

The fourth proportional to 127,969, 176,586.15 and 82,648.96 is: 114,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,969 : 176,586.15 = 82,648.96 : x
  2. Step 2: Convert to fraction form
    127,969/176,586.15 = 82,648.96/x
  3. Step 3: Cross multiply
    127,969x = 176,586.15 × 82,648.96
  4. Step 4: Simplify right side
    127,969x = 14,594,661,647.90
  5. Step 5: Solve for x
    x = 14,594,661,647.90/127,969
  6. Step 6: Final answer
    x = 114,048.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.