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Finding the Fourth Proportional to 256,455, 353,901.38 and 143,278.60

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Solution

The fourth proportional to 256,455, 353,901.38 and 143,278.60 is: 197,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,455 : 353,901.38 = 143,278.60 : x
  2. Step 2: Convert to fraction form
    256,455/353,901.38 = 143,278.60/x
  3. Step 3: Cross multiply
    256,455x = 353,901.38 × 143,278.60
  4. Step 4: Simplify right side
    256,455x = 50,706,494,264.47
  5. Step 5: Solve for x
    x = 50,706,494,264.47/256,455
  6. Step 6: Final answer
    x = 197,720.83

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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.