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Finding the Fourth Proportional to 189,005.52, 283,469.34 and 83,757.36

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Solution

The fourth proportional to 189,005.52, 283,469.34 and 83,757.36 is: 125,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,005.52 : 283,469.34 = 83,757.36 : x
  2. Step 2: Convert to fraction form
    189,005.52/283,469.34 = 83,757.36/x
  3. Step 3: Cross multiply
    189,005.52x = 283,469.34 × 83,757.36
  4. Step 4: Simplify right side
    189,005.52x = 23,742,643,559.34
  5. Step 5: Solve for x
    x = 23,742,643,559.34/189,005.52
  6. Step 6: Final answer
    x = 125,618.78

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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.