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Finding the Fourth Proportional to 140,980.32, 194,563.14 and 80,549.67

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Solution

The fourth proportional to 140,980.32, 194,563.14 and 80,549.67 is: 111,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,980.32 : 194,563.14 = 80,549.67 : x
  2. Step 2: Convert to fraction form
    140,980.32/194,563.14 = 80,549.67/x
  3. Step 3: Cross multiply
    140,980.32x = 194,563.14 × 80,549.67
  4. Step 4: Simplify right side
    140,980.32x = 15,671,996,721.16
  5. Step 5: Solve for x
    x = 15,671,996,721.16/140,980.32
  6. Step 6: Final answer
    x = 111,164.43

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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.