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Finding the Fourth Proportional to 137,475.56, 189,728.28 and 80,111.88

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Solution

The fourth proportional to 137,475.56, 189,728.28 and 80,111.88 is: 110,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,475.56 : 189,728.28 = 80,111.88 : x
  2. Step 2: Convert to fraction form
    137,475.56/189,728.28 = 80,111.88/x
  3. Step 3: Cross multiply
    137,475.56x = 189,728.28 × 80,111.88
  4. Step 4: Simplify right side
    137,475.56x = 15,199,489,199.97
  5. Step 5: Solve for x
    x = 15,199,489,199.97/137,475.56
  6. Step 6: Final answer
    x = 110,561.39

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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.