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Finding the Fourth Proportional to 209,418.36, 288,997.74 and 113,925.48

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Solution

The fourth proportional to 209,418.36, 288,997.74 and 113,925.48 is: 157,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,418.36 : 288,997.74 = 113,925.48 : x
  2. Step 2: Convert to fraction form
    209,418.36/288,997.74 = 113,925.48/x
  3. Step 3: Cross multiply
    209,418.36x = 288,997.74 × 113,925.48
  4. Step 4: Simplify right side
    209,418.36x = 32,924,206,248.42
  5. Step 5: Solve for x
    x = 32,924,206,248.42/209,418.36
  6. Step 6: Final answer
    x = 157,217.38

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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.