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Finding the Fourth Proportional to 137,148.46, 188,844.31 and 120,057.05

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Solution

The fourth proportional to 137,148.46, 188,844.31 and 120,057.05 is: 165,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,148.46 : 188,844.31 = 120,057.05 : x
  2. Step 2: Convert to fraction form
    137,148.46/188,844.31 = 120,057.05/x
  3. Step 3: Cross multiply
    137,148.46x = 188,844.31 × 120,057.05
  4. Step 4: Simplify right side
    137,148.46x = 22,672,091,390.07
  5. Step 5: Solve for x
    x = 22,672,091,390.07/137,148.46
  6. Step 6: Final answer
    x = 165,310.58

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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.