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Finding the Fourth Proportional to 256,496.32, 353,964.18 and 143,319.16

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Solution

The fourth proportional to 256,496.32, 353,964.18 and 143,319.16 is: 197,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496.32 : 353,964.18 = 143,319.16 : x
  2. Step 2: Convert to fraction form
    256,496.32/353,964.18 = 143,319.16/x
  3. Step 3: Cross multiply
    256,496.32x = 353,964.18 × 143,319.16
  4. Step 4: Simplify right side
    256,496.32x = 50,729,848,947.69
  5. Step 5: Solve for x
    x = 50,729,848,947.69/256,496.32
  6. Step 6: Final answer
    x = 197,780.03

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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.