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Finding the Fourth Proportional to 206,577, 309,917.34 and 58,833

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Solution

The fourth proportional to 206,577, 309,917.34 and 58,833 is: 88,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,577 : 309,917.34 = 58,833 : x
  2. Step 2: Convert to fraction form
    206,577/309,917.34 = 58,833/x
  3. Step 3: Cross multiply
    206,577x = 309,917.34 × 58,833
  4. Step 4: Simplify right side
    206,577x = 18,233,366,864.22
  5. Step 5: Solve for x
    x = 18,233,366,864.22/206,577
  6. Step 6: Final answer
    x = 88,264.26

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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.