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Finding the Fourth Proportional to 137,171.32, 189,300.42 and 76,740.54

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Solution

The fourth proportional to 137,171.32, 189,300.42 and 76,740.54 is: 105,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,171.32 : 189,300.42 = 76,740.54 : x
  2. Step 2: Convert to fraction form
    137,171.32/189,300.42 = 76,740.54/x
  3. Step 3: Cross multiply
    137,171.32x = 189,300.42 × 76,740.54
  4. Step 4: Simplify right side
    137,171.32x = 14,527,016,453.03
  5. Step 5: Solve for x
    x = 14,527,016,453.03/137,171.32
  6. Step 6: Final answer
    x = 105,904.18

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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.