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Finding the Fourth Proportional to 256,260.44, 384,392.02 and 168,072.40

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Solution

The fourth proportional to 256,260.44, 384,392.02 and 168,072.40 is: 252,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,260.44 : 384,392.02 = 168,072.40 : x
  2. Step 2: Convert to fraction form
    256,260.44/384,392.02 = 168,072.40/x
  3. Step 3: Cross multiply
    256,260.44x = 384,392.02 × 168,072.40
  4. Step 4: Simplify right side
    256,260.44x = 64,605,689,342.25
  5. Step 5: Solve for x
    x = 64,605,689,342.25/256,260.44
  6. Step 6: Final answer
    x = 252,109.49

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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.