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Finding the Fourth Proportional to 256,510.56, 384,843.60 and 123,353.04

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Solution

The fourth proportional to 256,510.56, 384,843.60 and 123,353.04 is: 185,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,510.56 : 384,843.60 = 123,353.04 : x
  2. Step 2: Convert to fraction form
    256,510.56/384,843.60 = 123,353.04/x
  3. Step 3: Cross multiply
    256,510.56x = 384,843.60 × 123,353.04
  4. Step 4: Simplify right side
    256,510.56x = 47,471,627,984.54
  5. Step 5: Solve for x
    x = 47,471,627,984.54/256,510.56
  6. Step 6: Final answer
    x = 185,066.95

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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.