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Finding the Fourth Proportional to 256,523.32, 354,001.62 and 143,346.08

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Solution

The fourth proportional to 256,523.32, 354,001.62 and 143,346.08 is: 197,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.32 : 354,001.62 = 143,346.08 : x
  2. Step 2: Convert to fraction form
    256,523.32/354,001.62 = 143,346.08/x
  3. Step 3: Cross multiply
    256,523.32x = 354,001.62 × 143,346.08
  4. Step 4: Simplify right side
    256,523.32x = 50,744,744,540.65
  5. Step 5: Solve for x
    x = 50,744,744,540.65/256,523.32
  6. Step 6: Final answer
    x = 197,817.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.