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Finding the Fourth Proportional to 230,965.20, 346,447.80 and 136,486.80

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Solution

The fourth proportional to 230,965.20, 346,447.80 and 136,486.80 is: 204,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,965.20 : 346,447.80 = 136,486.80 : x
  2. Step 2: Convert to fraction form
    230,965.20/346,447.80 = 136,486.80/x
  3. Step 3: Cross multiply
    230,965.20x = 346,447.80 × 136,486.80
  4. Step 4: Simplify right side
    230,965.20x = 47,285,551,589.04
  5. Step 5: Solve for x
    x = 47,285,551,589.04/230,965.20
  6. Step 6: Final answer
    x = 204,730.20

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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.