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Finding the Fourth Proportional to 256,092.39, 353,440.94 and 142,938.63

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Solution

The fourth proportional to 256,092.39, 353,440.94 and 142,938.63 is: 197,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,092.39 : 353,440.94 = 142,938.63 : x
  2. Step 2: Convert to fraction form
    256,092.39/353,440.94 = 142,938.63/x
  3. Step 3: Cross multiply
    256,092.39x = 353,440.94 × 142,938.63
  4. Step 4: Simplify right side
    256,092.39x = 50,520,363,034.82
  5. Step 5: Solve for x
    x = 50,520,363,034.82/256,092.39
  6. Step 6: Final answer
    x = 197,273.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.