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Finding the Fourth Proportional to 256,367.42, 353,794.17 and 141,653.46

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Solution

The fourth proportional to 256,367.42, 353,794.17 and 141,653.46 is: 195,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,367.42 : 353,794.17 = 141,653.46 : x
  2. Step 2: Convert to fraction form
    256,367.42/353,794.17 = 141,653.46/x
  3. Step 3: Cross multiply
    256,367.42x = 353,794.17 × 141,653.46
  4. Step 4: Simplify right side
    256,367.42x = 50,116,166,893.49
  5. Step 5: Solve for x
    x = 50,116,166,893.49/256,367.42
  6. Step 6: Final answer
    x = 195,485.71

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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.