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Finding the Fourth Proportional to 208,075.80, 311,676.30 and 173,083.80

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Solution

The fourth proportional to 208,075.80, 311,676.30 and 173,083.80 is: 259,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,075.80 : 311,676.30 = 173,083.80 : x
  2. Step 2: Convert to fraction form
    208,075.80/311,676.30 = 173,083.80/x
  3. Step 3: Cross multiply
    208,075.80x = 311,676.30 × 173,083.80
  4. Step 4: Simplify right side
    208,075.80x = 53,946,118,373.94
  5. Step 5: Solve for x
    x = 53,946,118,373.94/208,075.80
  6. Step 6: Final answer
    x = 259,261.86

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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.