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Finding the Fourth Proportional to 208,525.38, 312,789.71 and 136,538.94

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Solution

The fourth proportional to 208,525.38, 312,789.71 and 136,538.94 is: 204,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,525.38 : 312,789.71 = 136,538.94 : x
  2. Step 2: Convert to fraction form
    208,525.38/312,789.71 = 136,538.94/x
  3. Step 3: Cross multiply
    208,525.38x = 312,789.71 × 136,538.94
  4. Step 4: Simplify right side
    208,525.38x = 42,707,976,960.62
  5. Step 5: Solve for x
    x = 42,707,976,960.62/208,525.38
  6. Step 6: Final answer
    x = 204,809.49

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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.