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Finding the Fourth Proportional to 159,008.40, 238,535.28 and 53,857.44

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Solution

The fourth proportional to 159,008.40, 238,535.28 and 53,857.44 is: 80,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,008.40 : 238,535.28 = 53,857.44 : x
  2. Step 2: Convert to fraction form
    159,008.40/238,535.28 = 53,857.44/x
  3. Step 3: Cross multiply
    159,008.40x = 238,535.28 × 53,857.44
  4. Step 4: Simplify right side
    159,008.40x = 12,846,899,530.48
  5. Step 5: Solve for x
    x = 12,846,899,530.48/159,008.40
  6. Step 6: Final answer
    x = 80,793.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.