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Finding the Fourth Proportional to 256,490.82, 353,956.59 and 143,313.66

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Solution

The fourth proportional to 256,490.82, 353,956.59 and 143,313.66 is: 197,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.82 : 353,956.59 = 143,313.66 : x
  2. Step 2: Convert to fraction form
    256,490.82/353,956.59 = 143,313.66/x
  3. Step 3: Cross multiply
    256,490.82x = 353,956.59 × 143,313.66
  4. Step 4: Simplify right side
    256,490.82x = 50,726,814,394.02
  5. Step 5: Solve for x
    x = 50,726,814,394.02/256,490.82
  6. Step 6: Final answer
    x = 197,772.44

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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.