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Finding the Fourth Proportional to 230,959.83, 346,563.83 and 96,116.87

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Solution

The fourth proportional to 230,959.83, 346,563.83 and 96,116.87 is: 144,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,959.83 : 346,563.83 = 96,116.87 : x
  2. Step 2: Convert to fraction form
    230,959.83/346,563.83 = 96,116.87/x
  3. Step 3: Cross multiply
    230,959.83x = 346,563.83 × 96,116.87
  4. Step 4: Simplify right side
    230,959.83x = 33,310,629,211.43
  5. Step 5: Solve for x
    x = 33,310,629,211.43/230,959.83
  6. Step 6: Final answer
    x = 144,226.94

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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.