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Finding the Fourth Proportional to 256,164.30, 384,246.45 and 131,748.30

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Solution

The fourth proportional to 256,164.30, 384,246.45 and 131,748.30 is: 197,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.30 : 384,246.45 = 131,748.30 : x
  2. Step 2: Convert to fraction form
    256,164.30/384,246.45 = 131,748.30/x
  3. Step 3: Cross multiply
    256,164.30x = 384,246.45 × 131,748.30
  4. Step 4: Simplify right side
    256,164.30x = 50,623,816,568.54
  5. Step 5: Solve for x
    x = 50,623,816,568.54/256,164.30
  6. Step 6: Final answer
    x = 197,622.45

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1.5x scale

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.