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Finding the Fourth Proportional to 81,785.10, 122,677.65 and 81,785.10

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Solution

The fourth proportional to 81,785.10, 122,677.65 and 81,785.10 is: 122,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785.10 : 122,677.65 = 81,785.10 : x
  2. Step 2: Convert to fraction form
    81,785.10/122,677.65 = 81,785.10/x
  3. Step 3: Cross multiply
    81,785.10x = 122,677.65 × 81,785.10
  4. Step 4: Simplify right side
    81,785.10x = 10,033,203,873.02
  5. Step 5: Solve for x
    x = 10,033,203,873.02/81,785.10
  6. Step 6: Final answer
    x = 122,677.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.