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Finding the Fourth Proportional to 189,076.80, 283,615.20 and 83,906.40

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Solution

The fourth proportional to 189,076.80, 283,615.20 and 83,906.40 is: 125,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.80 : 283,615.20 = 83,906.40 : x
  2. Step 2: Convert to fraction form
    189,076.80/283,615.20 = 83,906.40/x
  3. Step 3: Cross multiply
    189,076.80x = 283,615.20 × 83,906.40
  4. Step 4: Simplify right side
    189,076.80x = 23,797,130,417.28
  5. Step 5: Solve for x
    x = 23,797,130,417.28/189,076.80
  6. Step 6: Final answer
    x = 125,859.60

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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.