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Finding the Fourth Proportional to 159,190.72, 238,814.52 and 65,645.44

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Solution

The fourth proportional to 159,190.72, 238,814.52 and 65,645.44 is: 98,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,190.72 : 238,814.52 = 65,645.44 : x
  2. Step 2: Convert to fraction form
    159,190.72/238,814.52 = 65,645.44/x
  3. Step 3: Cross multiply
    159,190.72x = 238,814.52 × 65,645.44
  4. Step 4: Simplify right side
    159,190.72x = 15,677,084,243.79
  5. Step 5: Solve for x
    x = 15,677,084,243.79/159,190.72
  6. Step 6: Final answer
    x = 98,479.89

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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.