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Finding the Fourth Proportional to 293,255.20, 404,696.88 and 159,119.20

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Solution

The fourth proportional to 293,255.20, 404,696.88 and 159,119.20 is: 219,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,255.20 : 404,696.88 = 159,119.20 : x
  2. Step 2: Convert to fraction form
    293,255.20/404,696.88 = 159,119.20/x
  3. Step 3: Cross multiply
    293,255.20x = 404,696.88 × 159,119.20
  4. Step 4: Simplify right side
    293,255.20x = 64,395,043,788.10
  5. Step 5: Solve for x
    x = 64,395,043,788.10/293,255.20
  6. Step 6: Final answer
    x = 219,587.05

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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.