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Finding the Fourth Proportional to 140,686.34, 194,165.64 and 80,243.10

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Solution

The fourth proportional to 140,686.34, 194,165.64 and 80,243.10 is: 110,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.34 : 194,165.64 = 80,243.10 : x
  2. Step 2: Convert to fraction form
    140,686.34/194,165.64 = 80,243.10/x
  3. Step 3: Cross multiply
    140,686.34x = 194,165.64 × 80,243.10
  4. Step 4: Simplify right side
    140,686.34x = 15,580,452,867.08
  5. Step 5: Solve for x
    x = 15,580,452,867.08/140,686.34
  6. Step 6: Final answer
    x = 110,746.03

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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.