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Finding the Fourth Proportional to 189,104.70, 283,365.45 and 164,027.10

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Solution

The fourth proportional to 189,104.70, 283,365.45 and 164,027.10 is: 245,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,104.70 : 283,365.45 = 164,027.10 : x
  2. Step 2: Convert to fraction form
    189,104.70/283,365.45 = 164,027.10/x
  3. Step 3: Cross multiply
    189,104.70x = 283,365.45 × 164,027.10
  4. Step 4: Simplify right side
    189,104.70x = 46,479,613,003.70
  5. Step 5: Solve for x
    x = 46,479,613,003.70/189,104.70
  6. Step 6: Final answer
    x = 245,787.72

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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.