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Finding the Fourth Proportional to 256,129.60, 384,194.40 and 123,073.60

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Solution

The fourth proportional to 256,129.60, 384,194.40 and 123,073.60 is: 184,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,129.60 : 384,194.40 = 123,073.60 : x
  2. Step 2: Convert to fraction form
    256,129.60/384,194.40 = 123,073.60/x
  3. Step 3: Cross multiply
    256,129.60x = 384,194.40 × 123,073.60
  4. Step 4: Simplify right side
    256,129.60x = 47,284,187,907.84
  5. Step 5: Solve for x
    x = 47,284,187,907.84/256,129.60
  6. Step 6: Final answer
    x = 184,610.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.