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Finding the Fourth Proportional to 137,409.94, 204,765.48 and 132,894.70

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Solution

The fourth proportional to 137,409.94, 204,765.48 and 132,894.70 is: 198,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.94 : 204,765.48 = 132,894.70 : x
  2. Step 2: Convert to fraction form
    137,409.94/204,765.48 = 132,894.70/x
  3. Step 3: Cross multiply
    137,409.94x = 204,765.48 × 132,894.70
  4. Step 4: Simplify right side
    137,409.94x = 27,212,246,523.04
  5. Step 5: Solve for x
    x = 27,212,246,523.04/137,409.94
  6. Step 6: Final answer
    x = 198,036.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.