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Finding the Fourth Proportional to 256,139.80, 384,209.70 and 252,203.20

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Solution

The fourth proportional to 256,139.80, 384,209.70 and 252,203.20 is: 378,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,139.80 : 384,209.70 = 252,203.20 : x
  2. Step 2: Convert to fraction form
    256,139.80/384,209.70 = 252,203.20/x
  3. Step 3: Cross multiply
    256,139.80x = 384,209.70 × 252,203.20
  4. Step 4: Simplify right side
    256,139.80x = 96,898,915,811.04
  5. Step 5: Solve for x
    x = 96,898,915,811.04/256,139.80
  6. Step 6: Final answer
    x = 378,304.80

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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.