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Finding the Fourth Proportional to 185,998.88, 256,680.60 and 103,214.56

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Solution

The fourth proportional to 185,998.88, 256,680.60 and 103,214.56 is: 142,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,998.88 : 256,680.60 = 103,214.56 : x
  2. Step 2: Convert to fraction form
    185,998.88/256,680.60 = 103,214.56/x
  3. Step 3: Cross multiply
    185,998.88x = 256,680.60 × 103,214.56
  4. Step 4: Simplify right side
    185,998.88x = 26,493,173,906.13
  5. Step 5: Solve for x
    x = 26,493,173,906.13/185,998.88
  6. Step 6: Final answer
    x = 142,437.28

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1.5x scale

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.