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Finding the Fourth Proportional to 206,261.90, 309,422.52 and 78,225.32

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Solution

The fourth proportional to 206,261.90, 309,422.52 and 78,225.32 is: 117,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,261.90 : 309,422.52 = 78,225.32 : x
  2. Step 2: Convert to fraction form
    206,261.90/309,422.52 = 78,225.32/x
  3. Step 3: Cross multiply
    206,261.90x = 309,422.52 × 78,225.32
  4. Step 4: Simplify right side
    206,261.90x = 24,204,675,642.21
  5. Step 5: Solve for x
    x = 24,204,675,642.21/206,261.90
  6. Step 6: Final answer
    x = 117,349.23

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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.