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Finding the Fourth Proportional to 179,761.71, 269,432.64 and 135,245.46

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Solution

The fourth proportional to 179,761.71, 269,432.64 and 135,245.46 is: 202,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,761.71 : 269,432.64 = 135,245.46 : x
  2. Step 2: Convert to fraction form
    179,761.71/269,432.64 = 135,245.46/x
  3. Step 3: Cross multiply
    179,761.71x = 269,432.64 × 135,245.46
  4. Step 4: Simplify right side
    179,761.71x = 36,439,541,335.81
  5. Step 5: Solve for x
    x = 36,439,541,335.81/179,761.71
  6. Step 6: Final answer
    x = 202,710.25

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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.