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Finding the Fourth Proportional to 256,517.83, 353,993.52 and 143,340.58

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Solution

The fourth proportional to 256,517.83, 353,993.52 and 143,340.58 is: 197,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,517.83 : 353,993.52 = 143,340.58 : x
  2. Step 2: Convert to fraction form
    256,517.83/353,993.52 = 143,340.58/x
  3. Step 3: Cross multiply
    256,517.83x = 353,993.52 × 143,340.58
  4. Step 4: Simplify right side
    256,517.83x = 50,741,636,473.04
  5. Step 5: Solve for x
    x = 50,741,636,473.04/256,517.83
  6. Step 6: Final answer
    x = 197,809.39

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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.