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Finding the Fourth Proportional to 289,675.20, 434,512.80 and 195,196.80

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Solution

The fourth proportional to 289,675.20, 434,512.80 and 195,196.80 is: 292,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675.20 : 434,512.80 = 195,196.80 : x
  2. Step 2: Convert to fraction form
    289,675.20/434,512.80 = 195,196.80/x
  3. Step 3: Cross multiply
    289,675.20x = 434,512.80 × 195,196.80
  4. Step 4: Simplify right side
    289,675.20x = 84,815,508,119.04
  5. Step 5: Solve for x
    x = 84,815,508,119.04/289,675.20
  6. Step 6: Final answer
    x = 292,795.20

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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.