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Finding the Fourth Proportional to 255,961.20, 384,233.40 and 150,839.40

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Solution

The fourth proportional to 255,961.20, 384,233.40 and 150,839.40 is: 226,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,961.20 : 384,233.40 = 150,839.40 : x
  2. Step 2: Convert to fraction form
    255,961.20/384,233.40 = 150,839.40/x
  3. Step 3: Cross multiply
    255,961.20x = 384,233.40 × 150,839.40
  4. Step 4: Simplify right side
    255,961.20x = 57,957,535,515.96
  5. Step 5: Solve for x
    x = 57,957,535,515.96/255,961.20
  6. Step 6: Final answer
    x = 226,430.94

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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.