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Finding the Fourth Proportional to 256,799.64, 354,416.94 and 143,645.88

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Solution

The fourth proportional to 256,799.64, 354,416.94 and 143,645.88 is: 198,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,799.64 : 354,416.94 = 143,645.88 : x
  2. Step 2: Convert to fraction form
    256,799.64/354,416.94 = 143,645.88/x
  3. Step 3: Cross multiply
    256,799.64x = 354,416.94 × 143,645.88
  4. Step 4: Simplify right side
    256,799.64x = 50,910,533,233.21
  5. Step 5: Solve for x
    x = 50,910,533,233.21/256,799.64
  6. Step 6: Final answer
    x = 198,250.02

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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.