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Finding the Fourth Proportional to 208,128.62, 312,066.50 and 81,617.30

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Solution

The fourth proportional to 208,128.62, 312,066.50 and 81,617.30 is: 122,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128.62 : 312,066.50 = 81,617.30 : x
  2. Step 2: Convert to fraction form
    208,128.62/312,066.50 = 81,617.30/x
  3. Step 3: Cross multiply
    208,128.62x = 312,066.50 × 81,617.30
  4. Step 4: Simplify right side
    208,128.62x = 25,470,025,150.45
  5. Step 5: Solve for x
    x = 25,470,025,150.45/208,128.62
  6. Step 6: Final answer
    x = 122,376.37

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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.