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Finding the Fourth Proportional to 256,094.60, 384,141.90 and 108,331.40

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Solution

The fourth proportional to 256,094.60, 384,141.90 and 108,331.40 is: 162,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.60 : 384,141.90 = 108,331.40 : x
  2. Step 2: Convert to fraction form
    256,094.60/384,141.90 = 108,331.40/x
  3. Step 3: Cross multiply
    256,094.60x = 384,141.90 × 108,331.40
  4. Step 4: Simplify right side
    256,094.60x = 41,614,629,825.66
  5. Step 5: Solve for x
    x = 41,614,629,825.66/256,094.60
  6. Step 6: Final answer
    x = 162,497.10

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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.