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Finding the Fourth Proportional to 208,559.36, 287,826.67 and 117,916.21

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Solution

The fourth proportional to 208,559.36, 287,826.67 and 117,916.21 is: 162,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.36 : 287,826.67 = 117,916.21 : x
  2. Step 2: Convert to fraction form
    208,559.36/287,826.67 = 117,916.21/x
  3. Step 3: Cross multiply
    208,559.36x = 287,826.67 × 117,916.21
  4. Step 4: Simplify right side
    208,559.36x = 33,939,428,288.20
  5. Step 5: Solve for x
    x = 33,939,428,288.20/208,559.36
  6. Step 6: Final answer
    x = 162,732.70

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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.