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Finding the Fourth Proportional to 206,838.83, 309,971.19 and 94,243.88

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Solution

The fourth proportional to 206,838.83, 309,971.19 and 94,243.88 is: 141,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.83 : 309,971.19 = 94,243.88 : x
  2. Step 2: Convert to fraction form
    206,838.83/309,971.19 = 94,243.88/x
  3. Step 3: Cross multiply
    206,838.83x = 309,971.19 × 94,243.88
  4. Step 4: Simplify right side
    206,838.83x = 29,212,886,083.96
  5. Step 5: Solve for x
    x = 29,212,886,083.96/206,838.83
  6. Step 6: Final answer
    x = 141,235.02

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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.