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Finding the Fourth Proportional to 208,559.26, 287,658.91 and 136,913.14

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Solution

The fourth proportional to 208,559.26, 287,658.91 and 136,913.14 is: 188,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.26 : 287,658.91 = 136,913.14 : x
  2. Step 2: Convert to fraction form
    208,559.26/287,658.91 = 136,913.14/x
  3. Step 3: Cross multiply
    208,559.26x = 287,658.91 × 136,913.14
  4. Step 4: Simplify right side
    208,559.26x = 39,384,284,617.08
  5. Step 5: Solve for x
    x = 39,384,284,617.08/208,559.26
  6. Step 6: Final answer
    x = 188,839.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.