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Finding the Fourth Proportional to 256,674.81, 384,982.80 and 67,153.48

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Solution

The fourth proportional to 256,674.81, 384,982.80 and 67,153.48 is: 100,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,674.81 : 384,982.80 = 67,153.48 : x
  2. Step 2: Convert to fraction form
    256,674.81/384,982.80 = 67,153.48/x
  3. Step 3: Cross multiply
    256,674.81x = 384,982.80 × 67,153.48
  4. Step 4: Simplify right side
    256,674.81x = 25,852,933,545.86
  5. Step 5: Solve for x
    x = 25,852,933,545.86/256,674.81
  6. Step 6: Final answer
    x = 100,722.52

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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.