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Finding the Fourth Proportional to 208,520.80, 313,011.60 and 115,208.80

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Solution

The fourth proportional to 208,520.80, 313,011.60 and 115,208.80 is: 172,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.80 : 313,011.60 = 115,208.80 : x
  2. Step 2: Convert to fraction form
    208,520.80/313,011.60 = 115,208.80/x
  3. Step 3: Cross multiply
    208,520.80x = 313,011.60 × 115,208.80
  4. Step 4: Simplify right side
    208,520.80x = 36,061,690,822.08
  5. Step 5: Solve for x
    x = 36,061,690,822.08/208,520.80
  6. Step 6: Final answer
    x = 172,940.50

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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.