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Finding the Fourth Proportional to 128,003.60, 192,224.10 and 83,826.20

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Solution

The fourth proportional to 128,003.60, 192,224.10 and 83,826.20 is: 125,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,003.60 : 192,224.10 = 83,826.20 : x
  2. Step 2: Convert to fraction form
    128,003.60/192,224.10 = 83,826.20/x
  3. Step 3: Cross multiply
    128,003.60x = 192,224.10 × 83,826.20
  4. Step 4: Simplify right side
    128,003.60x = 16,113,415,851.42
  5. Step 5: Solve for x
    x = 16,113,415,851.42/128,003.60
  6. Step 6: Final answer
    x = 125,882.52

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1.5x scale

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.