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Finding the Fourth Proportional to 140,943.60, 194,503.80 and 80,522.28

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Solution

The fourth proportional to 140,943.60, 194,503.80 and 80,522.28 is: 111,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,943.60 : 194,503.80 = 80,522.28 : x
  2. Step 2: Convert to fraction form
    140,943.60/194,503.80 = 80,522.28/x
  3. Step 3: Cross multiply
    140,943.60x = 194,503.80 × 80,522.28
  4. Step 4: Simplify right side
    140,943.60x = 15,661,889,444.66
  5. Step 5: Solve for x
    x = 15,661,889,444.66/140,943.60
  6. Step 6: Final answer
    x = 111,121.68

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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.