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Finding the Fourth Proportional to 208,716.48, 287,631 and 204,877.62

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Solution

The fourth proportional to 208,716.48, 287,631 and 204,877.62 is: 282,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,716.48 : 287,631 = 204,877.62 : x
  2. Step 2: Convert to fraction form
    208,716.48/287,631 = 204,877.62/x
  3. Step 3: Cross multiply
    208,716.48x = 287,631 × 204,877.62
  4. Step 4: Simplify right side
    208,716.48x = 58,929,154,718.22
  5. Step 5: Solve for x
    x = 58,929,154,718.22/208,716.48
  6. Step 6: Final answer
    x = 282,340.69

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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.