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Finding the Fourth Proportional to 208,822.40, 312,542.40 and 161,820.80

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Solution

The fourth proportional to 208,822.40, 312,542.40 and 161,820.80 is: 242,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,822.40 : 312,542.40 = 161,820.80 : x
  2. Step 2: Convert to fraction form
    208,822.40/312,542.40 = 161,820.80/x
  3. Step 3: Cross multiply
    208,822.40x = 312,542.40 × 161,820.80
  4. Step 4: Simplify right side
    208,822.40x = 50,575,861,201.92
  5. Step 5: Solve for x
    x = 50,575,861,201.92/208,822.40
  6. Step 6: Final answer
    x = 242,195.57

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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.