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Finding the Fourth Proportional to 140,514.46, 193,905.15 and 80,104.57

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Solution

The fourth proportional to 140,514.46, 193,905.15 and 80,104.57 is: 110,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,514.46 : 193,905.15 = 80,104.57 : x
  2. Step 2: Convert to fraction form
    140,514.46/193,905.15 = 80,104.57/x
  3. Step 3: Cross multiply
    140,514.46x = 193,905.15 × 80,104.57
  4. Step 4: Simplify right side
    140,514.46x = 15,532,688,661.54
  5. Step 5: Solve for x
    x = 15,532,688,661.54/140,514.46
  6. Step 6: Final answer
    x = 110,541.57

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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.