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Finding the Fourth Proportional to 208,209.96, 287,329.73 and 116,329.26

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Solution

The fourth proportional to 208,209.96, 287,329.73 and 116,329.26 is: 160,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,209.96 : 287,329.73 = 116,329.26 : x
  2. Step 2: Convert to fraction form
    208,209.96/287,329.73 = 116,329.26/x
  3. Step 3: Cross multiply
    208,209.96x = 287,329.73 × 116,329.26
  4. Step 4: Simplify right side
    208,209.96x = 33,424,855,464.98
  5. Step 5: Solve for x
    x = 33,424,855,464.98/208,209.96
  6. Step 6: Final answer
    x = 160,534.37

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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.