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Finding the Fourth Proportional to 204,493.52, 281,959.68 and 139,993.76

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Solution

The fourth proportional to 204,493.52, 281,959.68 and 139,993.76 is: 193,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493.52 : 281,959.68 = 139,993.76 : x
  2. Step 2: Convert to fraction form
    204,493.52/281,959.68 = 139,993.76/x
  3. Step 3: Cross multiply
    204,493.52x = 281,959.68 × 139,993.76
  4. Step 4: Simplify right side
    204,493.52x = 39,472,595,771.60
  5. Step 5: Solve for x
    x = 39,472,595,771.60/204,493.52
  6. Step 6: Final answer
    x = 193,026.14

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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.