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Finding the Fourth Proportional to 256,092.60, 384,138.90 and 122,904.30

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Solution

The fourth proportional to 256,092.60, 384,138.90 and 122,904.30 is: 184,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,092.60 : 384,138.90 = 122,904.30 : x
  2. Step 2: Convert to fraction form
    256,092.60/384,138.90 = 122,904.30/x
  3. Step 3: Cross multiply
    256,092.60x = 384,138.90 × 122,904.30
  4. Step 4: Simplify right side
    256,092.60x = 47,212,322,607.27
  5. Step 5: Solve for x
    x = 47,212,322,607.27/256,092.60
  6. Step 6: Final answer
    x = 184,356.45

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1.5x scale

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.