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Finding the Fourth Proportional to 256,372.56, 384,622.56 and 106,567.92

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Solution

The fourth proportional to 256,372.56, 384,622.56 and 106,567.92 is: 159,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,372.56 : 384,622.56 = 106,567.92 : x
  2. Step 2: Convert to fraction form
    256,372.56/384,622.56 = 106,567.92/x
  3. Step 3: Cross multiply
    256,372.56x = 384,622.56 × 106,567.92
  4. Step 4: Simplify right side
    256,372.56x = 40,988,426,204.28
  5. Step 5: Solve for x
    x = 40,988,426,204.28/256,372.56
  6. Step 6: Final answer
    x = 159,878.37

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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.