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Finding the Fourth Proportional to 123,068.20, 184,310.70 and 83,410.60

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Solution

The fourth proportional to 123,068.20, 184,310.70 and 83,410.60 is: 124,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,068.20 : 184,310.70 = 83,410.60 : x
  2. Step 2: Convert to fraction form
    123,068.20/184,310.70 = 83,410.60/x
  3. Step 3: Cross multiply
    123,068.20x = 184,310.70 × 83,410.60
  4. Step 4: Simplify right side
    123,068.20x = 15,373,466,073.42
  5. Step 5: Solve for x
    x = 15,373,466,073.42/123,068.20
  6. Step 6: Final answer
    x = 124,918.27

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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.