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Finding the Fourth Proportional to 128,821.60, 193,232.40 and 54,026.20

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Solution

The fourth proportional to 128,821.60, 193,232.40 and 54,026.20 is: 81,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,821.60 : 193,232.40 = 54,026.20 : x
  2. Step 2: Convert to fraction form
    128,821.60/193,232.40 = 54,026.20/x
  3. Step 3: Cross multiply
    128,821.60x = 193,232.40 × 54,026.20
  4. Step 4: Simplify right side
    128,821.60x = 10,439,612,288.88
  5. Step 5: Solve for x
    x = 10,439,612,288.88/128,821.60
  6. Step 6: Final answer
    x = 81,039.30

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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.