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Finding the Fourth Proportional to 149,785.88, 206,705.12 and 81,804.20

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Solution

The fourth proportional to 149,785.88, 206,705.12 and 81,804.20 is: 112,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,785.88 : 206,705.12 = 81,804.20 : x
  2. Step 2: Convert to fraction form
    149,785.88/206,705.12 = 81,804.20/x
  3. Step 3: Cross multiply
    149,785.88x = 206,705.12 × 81,804.20
  4. Step 4: Simplify right side
    149,785.88x = 16,909,345,534.96
  5. Step 5: Solve for x
    x = 16,909,345,534.96/149,785.88
  6. Step 6: Final answer
    x = 112,890.12

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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.