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Finding the Fourth Proportional to 189,205.25, 283,486.72 and 114,167.73

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Solution

The fourth proportional to 189,205.25, 283,486.72 and 114,167.73 is: 171,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,205.25 : 283,486.72 = 114,167.73 : x
  2. Step 2: Convert to fraction form
    189,205.25/283,486.72 = 114,167.73/x
  3. Step 3: Cross multiply
    189,205.25x = 283,486.72 × 114,167.73
  4. Step 4: Simplify right side
    189,205.25x = 32,365,035,186.30
  5. Step 5: Solve for x
    x = 32,365,035,186.30/189,205.25
  6. Step 6: Final answer
    x = 171,057.80

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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.