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Finding the Fourth Proportional to 185,563.36, 256,077.12 and 100,680.40

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Solution

The fourth proportional to 185,563.36, 256,077.12 and 100,680.40 is: 138,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,563.36 : 256,077.12 = 100,680.40 : x
  2. Step 2: Convert to fraction form
    185,563.36/256,077.12 = 100,680.40/x
  3. Step 3: Cross multiply
    185,563.36x = 256,077.12 × 100,680.40
  4. Step 4: Simplify right side
    185,563.36x = 25,781,946,872.45
  5. Step 5: Solve for x
    x = 25,781,946,872.45/185,563.36
  6. Step 6: Final answer
    x = 138,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.