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Finding the Fourth Proportional to 136,471.30, 204,512.55 and 100,653.10

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Solution

The fourth proportional to 136,471.30, 204,512.55 and 100,653.10 is: 150,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,471.30 : 204,512.55 = 100,653.10 : x
  2. Step 2: Convert to fraction form
    136,471.30/204,512.55 = 100,653.10/x
  3. Step 3: Cross multiply
    136,471.30x = 204,512.55 × 100,653.10
  4. Step 4: Simplify right side
    136,471.30x = 20,584,822,146.41
  5. Step 5: Solve for x
    x = 20,584,822,146.41/136,471.30
  6. Step 6: Final answer
    x = 150,836.27

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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.