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Finding the Fourth Proportional to 256,505.60, 353,971.55 and 140,213.90

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Solution

The fourth proportional to 256,505.60, 353,971.55 and 140,213.90 is: 193,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.60 : 353,971.55 = 140,213.90 : x
  2. Step 2: Convert to fraction form
    256,505.60/353,971.55 = 140,213.90/x
  3. Step 3: Cross multiply
    256,505.60x = 353,971.55 × 140,213.90
  4. Step 4: Simplify right side
    256,505.60x = 49,631,732,750.01
  5. Step 5: Solve for x
    x = 49,631,732,750.01/256,505.60
  6. Step 6: Final answer
    x = 193,491.81

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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.