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Finding the Fourth Proportional to 140,333.56, 193,595.34 and 80,683

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Solution

The fourth proportional to 140,333.56, 193,595.34 and 80,683 is: 111,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,333.56 : 193,595.34 = 80,683 : x
  2. Step 2: Convert to fraction form
    140,333.56/193,595.34 = 80,683/x
  3. Step 3: Cross multiply
    140,333.56x = 193,595.34 × 80,683
  4. Step 4: Simplify right side
    140,333.56x = 15,619,852,817.22
  5. Step 5: Solve for x
    x = 15,619,852,817.22/140,333.56
  6. Step 6: Final answer
    x = 111,305.18

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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.