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Finding the Fourth Proportional to 140,371.35, 193,709.36 and 76,709.60

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Solution

The fourth proportional to 140,371.35, 193,709.36 and 76,709.60 is: 105,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,371.35 : 193,709.36 = 76,709.60 : x
  2. Step 2: Convert to fraction form
    140,371.35/193,709.36 = 76,709.60/x
  3. Step 3: Cross multiply
    140,371.35x = 193,709.36 × 76,709.60
  4. Step 4: Simplify right side
    140,371.35x = 14,859,366,169.76
  5. Step 5: Solve for x
    x = 14,859,366,169.76/140,371.35
  6. Step 6: Final answer
    x = 105,857.54

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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.