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Finding the Fourth Proportional to 256,170.90, 384,256.35 and 162,743.70

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Solution

The fourth proportional to 256,170.90, 384,256.35 and 162,743.70 is: 244,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,170.90 : 384,256.35 = 162,743.70 : x
  2. Step 2: Convert to fraction form
    256,170.90/384,256.35 = 162,743.70/x
  3. Step 3: Cross multiply
    256,170.90x = 384,256.35 × 162,743.70
  4. Step 4: Simplify right side
    256,170.90x = 62,535,300,147.50
  5. Step 5: Solve for x
    x = 62,535,300,147.50/256,170.90
  6. Step 6: Final answer
    x = 244,115.55

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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.