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Finding the Fourth Proportional to 208,542.60, 312,813.90 and 129,616.20

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Solution

The fourth proportional to 208,542.60, 312,813.90 and 129,616.20 is: 194,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542.60 : 312,813.90 = 129,616.20 : x
  2. Step 2: Convert to fraction form
    208,542.60/312,813.90 = 129,616.20/x
  3. Step 3: Cross multiply
    208,542.60x = 312,813.90 × 129,616.20
  4. Step 4: Simplify right side
    208,542.60x = 40,545,749,025.18
  5. Step 5: Solve for x
    x = 40,545,749,025.18/208,542.60
  6. Step 6: Final answer
    x = 194,424.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.