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Finding the Fourth Proportional to 127,967.30, 176,651.50 and 82,667.36

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Solution

The fourth proportional to 127,967.30, 176,651.50 and 82,667.36 is: 114,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.30 : 176,651.50 = 82,667.36 : x
  2. Step 2: Convert to fraction form
    127,967.30/176,651.50 = 82,667.36/x
  3. Step 3: Cross multiply
    127,967.30x = 176,651.50 × 82,667.36
  4. Step 4: Simplify right side
    127,967.30x = 14,603,313,145.04
  5. Step 5: Solve for x
    x = 14,603,313,145.04/127,967.30
  6. Step 6: Final answer
    x = 114,117.54

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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.