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Finding the Fourth Proportional to 144,186.44, 198,977.70 and 80,526.64

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Solution

The fourth proportional to 144,186.44, 198,977.70 and 80,526.64 is: 111,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.44 : 198,977.70 = 80,526.64 : x
  2. Step 2: Convert to fraction form
    144,186.44/198,977.70 = 80,526.64/x
  3. Step 3: Cross multiply
    144,186.44x = 198,977.70 × 80,526.64
  4. Step 4: Simplify right side
    144,186.44x = 16,023,005,615.93
  5. Step 5: Solve for x
    x = 16,023,005,615.93/144,186.44
  6. Step 6: Final answer
    x = 111,126.99

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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.