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Finding the Fourth Proportional to 140,165.73, 193,453.79 and 83,580.75

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Solution

The fourth proportional to 140,165.73, 193,453.79 and 83,580.75 is: 115,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,165.73 : 193,453.79 = 83,580.75 : x
  2. Step 2: Convert to fraction form
    140,165.73/193,453.79 = 83,580.75/x
  3. Step 3: Cross multiply
    140,165.73x = 193,453.79 × 83,580.75
  4. Step 4: Simplify right side
    140,165.73x = 16,169,012,440.64
  5. Step 5: Solve for x
    x = 16,169,012,440.64/140,165.73
  6. Step 6: Final answer
    x = 115,356.39

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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.