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Finding the Fourth Proportional to 256,234.05, 384,586.20 and 129,962.16

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Solution

The fourth proportional to 256,234.05, 384,586.20 and 129,962.16 is: 195,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234.05 : 384,586.20 = 129,962.16 : x
  2. Step 2: Convert to fraction form
    256,234.05/384,586.20 = 129,962.16/x
  3. Step 3: Cross multiply
    256,234.05x = 384,586.20 × 129,962.16
  4. Step 4: Simplify right side
    256,234.05x = 49,981,653,258.19
  5. Step 5: Solve for x
    x = 49,981,653,258.19/256,234.05
  6. Step 6: Final answer
    x = 195,062.50

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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.