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Finding the Fourth Proportional to 256,265.28, 353,653.92 and 143,092.80

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Solution

The fourth proportional to 256,265.28, 353,653.92 and 143,092.80 is: 197,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,265.28 : 353,653.92 = 143,092.80 : x
  2. Step 2: Convert to fraction form
    256,265.28/353,653.92 = 143,092.80/x
  3. Step 3: Cross multiply
    256,265.28x = 353,653.92 × 143,092.80
  4. Step 4: Simplify right side
    256,265.28x = 50,605,329,643.78
  5. Step 5: Solve for x
    x = 50,605,329,643.78/256,265.28
  6. Step 6: Final answer
    x = 197,472.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.