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Finding the Fourth Proportional to 137,172.32, 189,301.80 and 76,741.54

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Solution

The fourth proportional to 137,172.32, 189,301.80 and 76,741.54 is: 105,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172.32 : 189,301.80 = 76,741.54 : x
  2. Step 2: Convert to fraction form
    137,172.32/189,301.80 = 76,741.54/x
  3. Step 3: Cross multiply
    137,172.32x = 189,301.80 × 76,741.54
  4. Step 4: Simplify right side
    137,172.32x = 14,527,311,656.77
  5. Step 5: Solve for x
    x = 14,527,311,656.77/137,172.32
  6. Step 6: Final answer
    x = 105,905.56

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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.