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Finding the Fourth Proportional to 127,855.32, 176,409.66 and 82,523.70

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Solution

The fourth proportional to 127,855.32, 176,409.66 and 82,523.70 is: 113,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,855.32 : 176,409.66 = 82,523.70 : x
  2. Step 2: Convert to fraction form
    127,855.32/176,409.66 = 82,523.70/x
  3. Step 3: Cross multiply
    127,855.32x = 176,409.66 × 82,523.70
  4. Step 4: Simplify right side
    127,855.32x = 14,557,977,858.94
  5. Step 5: Solve for x
    x = 14,557,977,858.94/127,855.32
  6. Step 6: Final answer
    x = 113,862.90

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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.