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Finding the Fourth Proportional to 215,820.80, 323,577.60 and 82,649.60

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Solution

The fourth proportional to 215,820.80, 323,577.60 and 82,649.60 is: 123,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,820.80 : 323,577.60 = 82,649.60 : x
  2. Step 2: Convert to fraction form
    215,820.80/323,577.60 = 82,649.60/x
  3. Step 3: Cross multiply
    215,820.80x = 323,577.60 × 82,649.60
  4. Step 4: Simplify right side
    215,820.80x = 26,743,559,208.96
  5. Step 5: Solve for x
    x = 26,743,559,208.96/215,820.80
  6. Step 6: Final answer
    x = 123,915.58

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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.