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Finding the Fourth Proportional to 345,103.50, 517,592.94 and 120,528.14

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Solution

The fourth proportional to 345,103.50, 517,592.94 and 120,528.14 is: 180,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,103.50 : 517,592.94 = 120,528.14 : x
  2. Step 2: Convert to fraction form
    345,103.50/517,592.94 = 120,528.14/x
  3. Step 3: Cross multiply
    345,103.50x = 517,592.94 × 120,528.14
  4. Step 4: Simplify right side
    345,103.50x = 62,384,511,295.39
  5. Step 5: Solve for x
    x = 62,384,511,295.39/345,103.50
  6. Step 6: Final answer
    x = 180,770.44

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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.