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Finding the Fourth Proportional to 206,260.90, 309,421.02 and 78,224.32

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Solution

The fourth proportional to 206,260.90, 309,421.02 and 78,224.32 is: 117,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,260.90 : 309,421.02 = 78,224.32 : x
  2. Step 2: Convert to fraction form
    206,260.90/309,421.02 = 78,224.32/x
  3. Step 3: Cross multiply
    206,260.90x = 309,421.02 × 78,224.32
  4. Step 4: Simplify right side
    206,260.90x = 24,204,248,883.21
  5. Step 5: Solve for x
    x = 24,204,248,883.21/206,260.90
  6. Step 6: Final answer
    x = 117,347.73

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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.