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Finding the Fourth Proportional to 256,605.44, 384,973.76 and 106,795.94

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Solution

The fourth proportional to 256,605.44, 384,973.76 and 106,795.94 is: 160,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,605.44 : 384,973.76 = 106,795.94 : x
  2. Step 2: Convert to fraction form
    256,605.44/384,973.76 = 106,795.94/x
  3. Step 3: Cross multiply
    256,605.44x = 384,973.76 × 106,795.94
  4. Step 4: Simplify right side
    256,605.44x = 41,113,632,916.66
  5. Step 5: Solve for x
    x = 41,113,632,916.66/256,605.44
  6. Step 6: Final answer
    x = 160,221.21

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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.