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Finding the Fourth Proportional to 256,092.77, 353,441.46 and 142,939.01

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Solution

The fourth proportional to 256,092.77, 353,441.46 and 142,939.01 is: 197,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,092.77 : 353,441.46 = 142,939.01 : x
  2. Step 2: Convert to fraction form
    256,092.77/353,441.46 = 142,939.01/x
  3. Step 3: Cross multiply
    256,092.77x = 353,441.46 × 142,939.01
  4. Step 4: Simplify right side
    256,092.77x = 50,520,570,618.15
  5. Step 5: Solve for x
    x = 50,520,570,618.15/256,092.77
  6. Step 6: Final answer
    x = 197,274.49

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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.