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Finding the Fourth Proportional to 256,031.44, 353,224.84 and 160,371.60

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Solution

The fourth proportional to 256,031.44, 353,224.84 and 160,371.60 is: 221,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,031.44 : 353,224.84 = 160,371.60 : x
  2. Step 2: Convert to fraction form
    256,031.44/353,224.84 = 160,371.60/x
  3. Step 3: Cross multiply
    256,031.44x = 353,224.84 × 160,371.60
  4. Step 4: Simplify right side
    256,031.44x = 56,647,232,750.54
  5. Step 5: Solve for x
    x = 56,647,232,750.54/256,031.44
  6. Step 6: Final answer
    x = 221,251.08

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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.