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Finding the Fourth Proportional to 256,501.57, 353,971.41 and 143,324.41

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Solution

The fourth proportional to 256,501.57, 353,971.41 and 143,324.41 is: 197,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.57 : 353,971.41 = 143,324.41 : x
  2. Step 2: Convert to fraction form
    256,501.57/353,971.41 = 143,324.41/x
  3. Step 3: Cross multiply
    256,501.57x = 353,971.41 × 143,324.41
  4. Step 4: Simplify right side
    256,501.57x = 50,732,743,495.12
  5. Step 5: Solve for x
    x = 50,732,743,495.12/256,501.57
  6. Step 6: Final answer
    x = 197,787.26

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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.