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Finding the Fourth Proportional to 189,546.40, 283,945.20 and 123,032.80

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Solution

The fourth proportional to 189,546.40, 283,945.20 and 123,032.80 is: 184,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,546.40 : 283,945.20 = 123,032.80 : x
  2. Step 2: Convert to fraction form
    189,546.40/283,945.20 = 123,032.80/x
  3. Step 3: Cross multiply
    189,546.40x = 283,945.20 × 123,032.80
  4. Step 4: Simplify right side
    189,546.40x = 34,934,573,002.56
  5. Step 5: Solve for x
    x = 34,934,573,002.56/189,546.40
  6. Step 6: Final answer
    x = 184,306.18

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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.