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Finding the Fourth Proportional to 204,513.80, 306,770.70 and 141,528.20

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Solution

The fourth proportional to 204,513.80, 306,770.70 and 141,528.20 is: 212,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,513.80 : 306,770.70 = 141,528.20 : x
  2. Step 2: Convert to fraction form
    204,513.80/306,770.70 = 141,528.20/x
  3. Step 3: Cross multiply
    204,513.80x = 306,770.70 × 141,528.20
  4. Step 4: Simplify right side
    204,513.80x = 43,416,704,983.74
  5. Step 5: Solve for x
    x = 43,416,704,983.74/204,513.80
  6. Step 6: Final answer
    x = 212,292.30

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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.