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Finding the Fourth Proportional to 206,907.52, 310,515.84 and 80,567.68

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Solution

The fourth proportional to 206,907.52, 310,515.84 and 80,567.68 is: 120,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.52 : 310,515.84 = 80,567.68 : x
  2. Step 2: Convert to fraction form
    206,907.52/310,515.84 = 80,567.68/x
  3. Step 3: Cross multiply
    206,907.52x = 310,515.84 × 80,567.68
  4. Step 4: Simplify right side
    206,907.52x = 25,017,540,832.05
  5. Step 5: Solve for x
    x = 25,017,540,832.05/206,907.52
  6. Step 6: Final answer
    x = 120,911.70

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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.