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Finding the Fourth Proportional to 289,993.20, 434,770.88 and 190,178.52

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Solution

The fourth proportional to 289,993.20, 434,770.88 and 190,178.52 is: 285,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,993.20 : 434,770.88 = 190,178.52 : x
  2. Step 2: Convert to fraction form
    289,993.20/434,770.88 = 190,178.52/x
  3. Step 3: Cross multiply
    289,993.20x = 434,770.88 × 190,178.52
  4. Step 4: Simplify right side
    289,993.20x = 82,684,082,497.50
  5. Step 5: Solve for x
    x = 82,684,082,497.50/289,993.20
  6. Step 6: Final answer
    x = 285,124.21

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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.