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Finding the Fourth Proportional to 189,203.22, 283,700.25 and 75,235.59

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Solution

The fourth proportional to 189,203.22, 283,700.25 and 75,235.59 is: 112,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,203.22 : 283,700.25 = 75,235.59 : x
  2. Step 2: Convert to fraction form
    189,203.22/283,700.25 = 75,235.59/x
  3. Step 3: Cross multiply
    189,203.22x = 283,700.25 × 75,235.59
  4. Step 4: Simplify right side
    189,203.22x = 21,344,355,691.90
  5. Step 5: Solve for x
    x = 21,344,355,691.90/189,203.22
  6. Step 6: Final answer
    x = 112,811.80

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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.