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Finding the Fourth Proportional to 148,097.83, 204,374.39 and 80,114.63

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Solution

The fourth proportional to 148,097.83, 204,374.39 and 80,114.63 is: 110,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,097.83 : 204,374.39 = 80,114.63 : x
  2. Step 2: Convert to fraction form
    148,097.83/204,374.39 = 80,114.63/x
  3. Step 3: Cross multiply
    148,097.83x = 204,374.39 × 80,114.63
  4. Step 4: Simplify right side
    148,097.83x = 16,373,379,280.11
  5. Step 5: Solve for x
    x = 16,373,379,280.11/148,097.83
  6. Step 6: Final answer
    x = 110,557.86

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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.