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Finding the Fourth Proportional to 208,098.80, 311,710.80 and 173,106.80

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Solution

The fourth proportional to 208,098.80, 311,710.80 and 173,106.80 is: 259,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.80 : 311,710.80 = 173,106.80 : x
  2. Step 2: Convert to fraction form
    208,098.80/311,710.80 = 173,106.80/x
  3. Step 3: Cross multiply
    208,098.80x = 311,710.80 × 173,106.80
  4. Step 4: Simplify right side
    208,098.80x = 53,959,259,113.44
  5. Step 5: Solve for x
    x = 53,959,259,113.44/208,098.80
  6. Step 6: Final answer
    x = 259,296.35

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Why These Related Problems?

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