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Finding the Fourth Proportional to 256,844.80, 385,267.20 and 163,763.20

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Solution

The fourth proportional to 256,844.80, 385,267.20 and 163,763.20 is: 245,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,844.80 : 385,267.20 = 163,763.20 : x
  2. Step 2: Convert to fraction form
    256,844.80/385,267.20 = 163,763.20/x
  3. Step 3: Cross multiply
    256,844.80x = 385,267.20 × 163,763.20
  4. Step 4: Simplify right side
    256,844.80x = 63,092,589,527.04
  5. Step 5: Solve for x
    x = 63,092,589,527.04/256,844.80
  6. Step 6: Final answer
    x = 245,644.80

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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.