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Finding the Fourth Proportional to 128,103.44, 176,865.06 and 82,850.80

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Solution

The fourth proportional to 128,103.44, 176,865.06 and 82,850.80 is: 114,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,103.44 : 176,865.06 = 82,850.80 : x
  2. Step 2: Convert to fraction form
    128,103.44/176,865.06 = 82,850.80/x
  3. Step 3: Cross multiply
    128,103.44x = 176,865.06 × 82,850.80
  4. Step 4: Simplify right side
    128,103.44x = 14,653,411,713.05
  5. Step 5: Solve for x
    x = 14,653,411,713.05/128,103.44
  6. Step 6: Final answer
    x = 114,387.34

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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.