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Finding the Fourth Proportional to 208,092.60, 312,081.30 and 83,446.20

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Solution

The fourth proportional to 208,092.60, 312,081.30 and 83,446.20 is: 125,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.60 : 312,081.30 = 83,446.20 : x
  2. Step 2: Convert to fraction form
    208,092.60/312,081.30 = 83,446.20/x
  3. Step 3: Cross multiply
    208,092.60x = 312,081.30 × 83,446.20
  4. Step 4: Simplify right side
    208,092.60x = 26,041,998,576.06
  5. Step 5: Solve for x
    x = 26,041,998,576.06/208,092.60
  6. Step 6: Final answer
    x = 125,146.20

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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.