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Finding the Fourth Proportional to 189,100.80, 283,651.20 and 83,930.40

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Solution

The fourth proportional to 189,100.80, 283,651.20 and 83,930.40 is: 125,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100.80 : 283,651.20 = 83,930.40 : x
  2. Step 2: Convert to fraction form
    189,100.80/283,651.20 = 83,930.40/x
  3. Step 3: Cross multiply
    189,100.80x = 283,651.20 × 83,930.40
  4. Step 4: Simplify right side
    189,100.80x = 23,806,958,676.48
  5. Step 5: Solve for x
    x = 23,806,958,676.48/189,100.80
  6. Step 6: Final answer
    x = 125,895.60

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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.