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Finding the Fourth Proportional to 147,105.64, 201,591.70 and 132,933.88

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Solution

The fourth proportional to 147,105.64, 201,591.70 and 132,933.88 is: 182,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,105.64 : 201,591.70 = 132,933.88 : x
  2. Step 2: Convert to fraction form
    147,105.64/201,591.70 = 132,933.88/x
  3. Step 3: Cross multiply
    147,105.64x = 201,591.70 × 132,933.88
  4. Step 4: Simplify right side
    147,105.64x = 26,798,366,856.80
  5. Step 5: Solve for x
    x = 26,798,366,856.80/147,105.64
  6. Step 6: Final answer
    x = 182,170.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.