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Finding the Fourth Proportional to 208,825.20, 313,266.60 and 75,673.20

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Solution

The fourth proportional to 208,825.20, 313,266.60 and 75,673.20 is: 113,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,825.20 : 313,266.60 = 75,673.20 : x
  2. Step 2: Convert to fraction form
    208,825.20/313,266.60 = 75,673.20/x
  3. Step 3: Cross multiply
    208,825.20x = 313,266.60 × 75,673.20
  4. Step 4: Simplify right side
    208,825.20x = 23,705,886,075.12
  5. Step 5: Solve for x
    x = 23,705,886,075.12/208,825.20
  6. Step 6: Final answer
    x = 113,520.24

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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.