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Finding the Fourth Proportional to 189,200.80, 283,412.40 and 95,759.20

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Solution

The fourth proportional to 189,200.80, 283,412.40 and 95,759.20 is: 143,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.80 : 283,412.40 = 95,759.20 : x
  2. Step 2: Convert to fraction form
    189,200.80/283,412.40 = 95,759.20/x
  3. Step 3: Cross multiply
    189,200.80x = 283,412.40 × 95,759.20
  4. Step 4: Simplify right side
    189,200.80x = 27,139,344,694.08
  5. Step 5: Solve for x
    x = 27,139,344,694.08/189,200.80
  6. Step 6: Final answer
    x = 143,442.02

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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.