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Finding the Fourth Proportional to 137,175.88, 189,308.10 and 80,586.76

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Solution

The fourth proportional to 137,175.88, 189,308.10 and 80,586.76 is: 111,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175.88 : 189,308.10 = 80,586.76 : x
  2. Step 2: Convert to fraction form
    137,175.88/189,308.10 = 80,586.76/x
  3. Step 3: Cross multiply
    137,175.88x = 189,308.10 × 80,586.76
  4. Step 4: Simplify right side
    137,175.88x = 15,255,726,420.76
  5. Step 5: Solve for x
    x = 15,255,726,420.76/137,175.88
  6. Step 6: Final answer
    x = 111,212.89

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