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Finding the Fourth Proportional to 256,671.66, 354,196.69 and 141,942.86

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Solution

The fourth proportional to 256,671.66, 354,196.69 and 141,942.86 is: 195,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.66 : 354,196.69 = 141,942.86 : x
  2. Step 2: Convert to fraction form
    256,671.66/354,196.69 = 141,942.86/x
  3. Step 3: Cross multiply
    256,671.66x = 354,196.69 × 141,942.86
  4. Step 4: Simplify right side
    256,671.66x = 50,275,691,181.13
  5. Step 5: Solve for x
    x = 50,275,691,181.13/256,671.66
  6. Step 6: Final answer
    x = 195,875.51

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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.