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Finding the Fourth Proportional to 206,322.08, 284,775.12 and 125,794

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Solution

The fourth proportional to 206,322.08, 284,775.12 and 125,794 is: 173,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.08 : 284,775.12 = 125,794 : x
  2. Step 2: Convert to fraction form
    206,322.08/284,775.12 = 125,794/x
  3. Step 3: Cross multiply
    206,322.08x = 284,775.12 × 125,794
  4. Step 4: Simplify right side
    206,322.08x = 35,823,001,445.28
  5. Step 5: Solve for x
    x = 35,823,001,445.28/206,322.08
  6. Step 6: Final answer
    x = 173,626.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.