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Finding the Fourth Proportional to 256,100.60, 384,150.90 and 122,912.30

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Solution

The fourth proportional to 256,100.60, 384,150.90 and 122,912.30 is: 184,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,100.60 : 384,150.90 = 122,912.30 : x
  2. Step 2: Convert to fraction form
    256,100.60/384,150.90 = 122,912.30/x
  3. Step 3: Cross multiply
    256,100.60x = 384,150.90 × 122,912.30
  4. Step 4: Simplify right side
    256,100.60x = 47,216,870,666.07
  5. Step 5: Solve for x
    x = 47,216,870,666.07/256,100.60
  6. Step 6: Final answer
    x = 184,368.45

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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.