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Finding the Fourth Proportional to 208,567.72, 287,819.70 and 117,922.12

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Solution

The fourth proportional to 208,567.72, 287,819.70 and 117,922.12 is: 162,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.72 : 287,819.70 = 117,922.12 : x
  2. Step 2: Convert to fraction form
    208,567.72/287,819.70 = 117,922.12/x
  3. Step 3: Cross multiply
    208,567.72x = 287,819.70 × 117,922.12
  4. Step 4: Simplify right side
    208,567.72x = 33,940,309,201.76
  5. Step 5: Solve for x
    x = 33,940,309,201.76/208,567.72
  6. Step 6: Final answer
    x = 162,730.40

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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.