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Finding the Fourth Proportional to 137,145.34, 188,839.78 and 120,053.94

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Solution

The fourth proportional to 137,145.34, 188,839.78 and 120,053.94 is: 165,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.34 : 188,839.78 = 120,053.94 : x
  2. Step 2: Convert to fraction form
    137,145.34/188,839.78 = 120,053.94/x
  3. Step 3: Cross multiply
    137,145.34x = 188,839.78 × 120,053.94
  4. Step 4: Simplify right side
    137,145.34x = 22,670,959,617.73
  5. Step 5: Solve for x
    x = 22,670,959,617.73/137,145.34
  6. Step 6: Final answer
    x = 165,306.09

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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.