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Finding the Fourth Proportional to 159,873.35, 239,833.71 and 53,222.47

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Solution

The fourth proportional to 159,873.35, 239,833.71 and 53,222.47 is: 79,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,873.35 : 239,833.71 = 53,222.47 : x
  2. Step 2: Convert to fraction form
    159,873.35/239,833.71 = 53,222.47/x
  3. Step 3: Cross multiply
    159,873.35x = 239,833.71 × 53,222.47
  4. Step 4: Simplify right side
    159,873.35x = 12,764,541,835.88
  5. Step 5: Solve for x
    x = 12,764,541,835.88/159,873.35
  6. Step 6: Final answer
    x = 79,841.59

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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.