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Finding the Fourth Proportional to 150,824.31, 208,139.26 and 82,842.88

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Solution

The fourth proportional to 150,824.31, 208,139.26 and 82,842.88 is: 114,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,824.31 : 208,139.26 = 82,842.88 : x
  2. Step 2: Convert to fraction form
    150,824.31/208,139.26 = 82,842.88/x
  3. Step 3: Cross multiply
    150,824.31x = 208,139.26 × 82,842.88
  4. Step 4: Simplify right side
    150,824.31x = 17,242,854,698.77
  5. Step 5: Solve for x
    x = 17,242,854,698.77/150,824.31
  6. Step 6: Final answer
    x = 114,324.11

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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.