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Finding the Fourth Proportional to 82,446.20, 115,774.60 and 82,446.20

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Solution

The fourth proportional to 82,446.20, 115,774.60 and 82,446.20 is: 115,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.20 : 115,774.60 = 82,446.20 : x
  2. Step 2: Convert to fraction form
    82,446.20/115,774.60 = 82,446.20/x
  3. Step 3: Cross multiply
    82,446.20x = 115,774.60 × 82,446.20
  4. Step 4: Simplify right side
    82,446.20x = 9,545,175,826.52
  5. Step 5: Solve for x
    x = 9,545,175,826.52/82,446.20
  6. Step 6: Final answer
    x = 115,774.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.