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Finding the Fourth Proportional to 137,013.32, 205,497.56 and 48,245.96

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Solution

The fourth proportional to 137,013.32, 205,497.56 and 48,245.96 is: 72,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013.32 : 205,497.56 = 48,245.96 : x
  2. Step 2: Convert to fraction form
    137,013.32/205,497.56 = 48,245.96/x
  3. Step 3: Cross multiply
    137,013.32x = 205,497.56 × 48,245.96
  4. Step 4: Simplify right side
    137,013.32x = 9,914,427,059.86
  5. Step 5: Solve for x
    x = 9,914,427,059.86/137,013.32
  6. Step 6: Final answer
    x = 72,361.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.