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Finding the Fourth Proportional to 170,849.20, 256,273.80 and 161,663.80

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Solution

The fourth proportional to 170,849.20, 256,273.80 and 161,663.80 is: 242,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,849.20 : 256,273.80 = 161,663.80 : x
  2. Step 2: Convert to fraction form
    170,849.20/256,273.80 = 161,663.80/x
  3. Step 3: Cross multiply
    170,849.20x = 256,273.80 × 161,663.80
  4. Step 4: Simplify right side
    170,849.20x = 41,430,196,348.44
  5. Step 5: Solve for x
    x = 41,430,196,348.44/170,849.20
  6. Step 6: Final answer
    x = 242,495.70

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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.