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Finding the Fourth Proportional to 256,386.96, 353,821.56 and 143,207.28

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Solution

The fourth proportional to 256,386.96, 353,821.56 and 143,207.28 is: 197,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,386.96 : 353,821.56 = 143,207.28 : x
  2. Step 2: Convert to fraction form
    256,386.96/353,821.56 = 143,207.28/x
  3. Step 3: Cross multiply
    256,386.96x = 353,821.56 × 143,207.28
  4. Step 4: Simplify right side
    256,386.96x = 50,669,823,212.96
  5. Step 5: Solve for x
    x = 50,669,823,212.96/256,386.96
  6. Step 6: Final answer
    x = 197,630.27

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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.