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Finding the Fourth Proportional to 144,052.34, 198,803.48 and 80,399.70

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Solution

The fourth proportional to 144,052.34, 198,803.48 and 80,399.70 is: 110,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,052.34 : 198,803.48 = 80,399.70 : x
  2. Step 2: Convert to fraction form
    144,052.34/198,803.48 = 80,399.70/x
  3. Step 3: Cross multiply
    144,052.34x = 198,803.48 × 80,399.70
  4. Step 4: Simplify right side
    144,052.34x = 15,983,739,748.96
  5. Step 5: Solve for x
    x = 15,983,739,748.96/144,052.34
  6. Step 6: Final answer
    x = 110,957.87

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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.