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Finding the Fourth Proportional to 126,186.96, 174,137.67 and 72,475.46

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Solution

The fourth proportional to 126,186.96, 174,137.67 and 72,475.46 is: 100,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,186.96 : 174,137.67 = 72,475.46 : x
  2. Step 2: Convert to fraction form
    126,186.96/174,137.67 = 72,475.46/x
  3. Step 3: Cross multiply
    126,186.96x = 174,137.67 × 72,475.46
  4. Step 4: Simplify right side
    126,186.96x = 12,620,706,865.89
  5. Step 5: Solve for x
    x = 12,620,706,865.89/126,186.96
  6. Step 6: Final answer
    x = 100,015.94

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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.