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Finding the Fourth Proportional to 206,374.63, 309,592.69 and 73,243.74

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Solution

The fourth proportional to 206,374.63, 309,592.69 and 73,243.74 is: 109,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.63 : 309,592.69 = 73,243.74 : x
  2. Step 2: Convert to fraction form
    206,374.63/309,592.69 = 73,243.74/x
  3. Step 3: Cross multiply
    206,374.63x = 309,592.69 × 73,243.74
  4. Step 4: Simplify right side
    206,374.63x = 22,675,725,372.93
  5. Step 5: Solve for x
    x = 22,675,725,372.93/206,374.63
  6. Step 6: Final answer
    x = 109,876.52

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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.