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Finding the Fourth Proportional to 189,189.97, 283,776.75 and 47,032.27

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Solution

The fourth proportional to 189,189.97, 283,776.75 and 47,032.27 is: 70,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,189.97 : 283,776.75 = 47,032.27 : x
  2. Step 2: Convert to fraction form
    189,189.97/283,776.75 = 47,032.27/x
  3. Step 3: Cross multiply
    189,189.97x = 283,776.75 × 47,032.27
  4. Step 4: Simplify right side
    189,189.97x = 13,346,664,016.28
  5. Step 5: Solve for x
    x = 13,346,664,016.28/189,189.97
  6. Step 6: Final answer
    x = 70,546.36

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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.