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Finding the Fourth Proportional to 256,534.21, 354,017.69 and 143,356.96

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Solution

The fourth proportional to 256,534.21, 354,017.69 and 143,356.96 is: 197,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.21 : 354,017.69 = 143,356.96 : x
  2. Step 2: Convert to fraction form
    256,534.21/354,017.69 = 143,356.96/x
  3. Step 3: Cross multiply
    256,534.21x = 354,017.69 × 143,356.96
  4. Step 4: Simplify right side
    256,534.21x = 50,750,899,824.62
  5. Step 5: Solve for x
    x = 50,750,899,824.62/256,534.21
  6. Step 6: Final answer
    x = 197,832.87

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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.