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Finding the Fourth Proportional to 289,902.20, 434,270.10 and 195,423.80

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Solution

The fourth proportional to 289,902.20, 434,270.10 and 195,423.80 is: 292,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.20 : 434,270.10 = 195,423.80 : x
  2. Step 2: Convert to fraction form
    289,902.20/434,270.10 = 195,423.80/x
  3. Step 3: Cross multiply
    289,902.20x = 434,270.10 × 195,423.80
  4. Step 4: Simplify right side
    289,902.20x = 84,866,713,168.38
  5. Step 5: Solve for x
    x = 84,866,713,168.38/289,902.20
  6. Step 6: Final answer
    x = 292,742.56

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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.