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Finding the Fourth Proportional to 140,662.96, 194,110.02 and 80,253.16

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Solution

The fourth proportional to 140,662.96, 194,110.02 and 80,253.16 is: 110,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662.96 : 194,110.02 = 80,253.16 : x
  2. Step 2: Convert to fraction form
    140,662.96/194,110.02 = 80,253.16/x
  3. Step 3: Cross multiply
    140,662.96x = 194,110.02 × 80,253.16
  4. Step 4: Simplify right side
    140,662.96x = 15,577,942,492.66
  5. Step 5: Solve for x
    x = 15,577,942,492.66/140,662.96
  6. Step 6: Final answer
    x = 110,746.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.