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Finding the Fourth Proportional to 161,941.20, 242,814.60 and 83,209.20

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Solution

The fourth proportional to 161,941.20, 242,814.60 and 83,209.20 is: 124,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,941.20 : 242,814.60 = 83,209.20 : x
  2. Step 2: Convert to fraction form
    161,941.20/242,814.60 = 83,209.20/x
  3. Step 3: Cross multiply
    161,941.20x = 242,814.60 × 83,209.20
  4. Step 4: Simplify right side
    161,941.20x = 20,204,408,614.32
  5. Step 5: Solve for x
    x = 20,204,408,614.32/161,941.20
  6. Step 6: Final answer
    x = 124,763.86

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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.