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Finding the Fourth Proportional to 206,451.98, 309,603.59 and 71,479.40

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Solution

The fourth proportional to 206,451.98, 309,603.59 and 71,479.40 is: 107,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,451.98 : 309,603.59 = 71,479.40 : x
  2. Step 2: Convert to fraction form
    206,451.98/309,603.59 = 71,479.40/x
  3. Step 3: Cross multiply
    206,451.98x = 309,603.59 × 71,479.40
  4. Step 4: Simplify right side
    206,451.98x = 22,130,278,851.05
  5. Step 5: Solve for x
    x = 22,130,278,851.05/206,451.98
  6. Step 6: Final answer
    x = 107,193.35

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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.