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Finding the Fourth Proportional to 137,091.96, 189,185.36 and 76,661.78

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Solution

The fourth proportional to 137,091.96, 189,185.36 and 76,661.78 is: 105,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,091.96 : 189,185.36 = 76,661.78 : x
  2. Step 2: Convert to fraction form
    137,091.96/189,185.36 = 76,661.78/x
  3. Step 3: Cross multiply
    137,091.96x = 189,185.36 × 76,661.78
  4. Step 4: Simplify right side
    137,091.96x = 14,503,285,118.31
  5. Step 5: Solve for x
    x = 14,503,285,118.31/137,091.96
  6. Step 6: Final answer
    x = 105,792.38

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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.