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Finding the Fourth Proportional to 256,403.87, 353,837.33 and 143,226.62

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Solution

The fourth proportional to 256,403.87, 353,837.33 and 143,226.62 is: 197,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.87 : 353,837.33 = 143,226.62 : x
  2. Step 2: Convert to fraction form
    256,403.87/353,837.33 = 143,226.62/x
  3. Step 3: Cross multiply
    256,403.87x = 353,837.33 × 143,226.62
  4. Step 4: Simplify right side
    256,403.87x = 50,678,924,089.59
  5. Step 5: Solve for x
    x = 50,678,924,089.59/256,403.87
  6. Step 6: Final answer
    x = 197,652.73

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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.