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Finding the Fourth Proportional to 256,672.56, 384,737.32 and 96,679.26

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Solution

The fourth proportional to 256,672.56, 384,737.32 and 96,679.26 is: 144,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672.56 : 384,737.32 = 96,679.26 : x
  2. Step 2: Convert to fraction form
    256,672.56/384,737.32 = 96,679.26/x
  3. Step 3: Cross multiply
    256,672.56x = 384,737.32 × 96,679.26
  4. Step 4: Simplify right side
    256,672.56x = 37,196,119,391.98
  5. Step 5: Solve for x
    x = 37,196,119,391.98/256,672.56
  6. Step 6: Final answer
    x = 144,916.62

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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.