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Finding the Fourth Proportional to 159,434.30, 238,708.58 and 80,308.64

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Solution

The fourth proportional to 159,434.30, 238,708.58 and 80,308.64 is: 120,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,434.30 : 238,708.58 = 80,308.64 : x
  2. Step 2: Convert to fraction form
    159,434.30/238,708.58 = 80,308.64/x
  3. Step 3: Cross multiply
    159,434.30x = 238,708.58 × 80,308.64
  4. Step 4: Simplify right side
    159,434.30x = 19,170,361,416.13
  5. Step 5: Solve for x
    x = 19,170,361,416.13/159,434.30
  6. Step 6: Final answer
    x = 120,239.88

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