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Finding the Fourth Proportional to 206,483.94, 309,542.40 and 73,346.64

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Solution

The fourth proportional to 206,483.94, 309,542.40 and 73,346.64 is: 109,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.94 : 309,542.40 = 73,346.64 : x
  2. Step 2: Convert to fraction form
    206,483.94/309,542.40 = 73,346.64/x
  3. Step 3: Cross multiply
    206,483.94x = 309,542.40 × 73,346.64
  4. Step 4: Simplify right side
    206,483.94x = 22,703,894,977.54
  5. Step 5: Solve for x
    x = 22,703,894,977.54/206,483.94
  6. Step 6: Final answer
    x = 109,954.77

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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.