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Finding the Fourth Proportional to 256,169.12, 353,502 and 142,989.28

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Solution

The fourth proportional to 256,169.12, 353,502 and 142,989.28 is: 197,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,169.12 : 353,502 = 142,989.28 : x
  2. Step 2: Convert to fraction form
    256,169.12/353,502 = 142,989.28/x
  3. Step 3: Cross multiply
    256,169.12x = 353,502 × 142,989.28
  4. Step 4: Simplify right side
    256,169.12x = 50,546,996,458.56
  5. Step 5: Solve for x
    x = 50,546,996,458.56/256,169.12
  6. Step 6: Final answer
    x = 197,318.85

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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.