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Finding the Fourth Proportional to 256,861.44, 354,482.56 and 143,677.44

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Solution

The fourth proportional to 256,861.44, 354,482.56 and 143,677.44 is: 198,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,861.44 : 354,482.56 = 143,677.44 : x
  2. Step 2: Convert to fraction form
    256,861.44/354,482.56 = 143,677.44/x
  3. Step 3: Cross multiply
    256,861.44x = 354,482.56 × 143,677.44
  4. Step 4: Simplify right side
    256,861.44x = 50,931,146,745.45
  5. Step 5: Solve for x
    x = 50,931,146,745.45/256,861.44
  6. Step 6: Final answer
    x = 198,282.57

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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.