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Finding the Fourth Proportional to 123,082.60, 184,235.10 and 119,194.60

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Solution

The fourth proportional to 123,082.60, 184,235.10 and 119,194.60 is: 178,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082.60 : 184,235.10 = 119,194.60 : x
  2. Step 2: Convert to fraction form
    123,082.60/184,235.10 = 119,194.60/x
  3. Step 3: Cross multiply
    123,082.60x = 184,235.10 × 119,194.60
  4. Step 4: Simplify right side
    123,082.60x = 21,959,829,050.46
  5. Step 5: Solve for x
    x = 21,959,829,050.46/123,082.60
  6. Step 6: Final answer
    x = 178,415.38

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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.