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Finding the Fourth Proportional to 159,684.33, 239,485.62 and 47,338.29

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Solution

The fourth proportional to 159,684.33, 239,485.62 and 47,338.29 is: 70,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684.33 : 239,485.62 = 47,338.29 : x
  2. Step 2: Convert to fraction form
    159,684.33/239,485.62 = 47,338.29/x
  3. Step 3: Cross multiply
    159,684.33x = 239,485.62 × 47,338.29
  4. Step 4: Simplify right side
    159,684.33x = 11,336,839,730.39
  5. Step 5: Solve for x
    x = 11,336,839,730.39/159,684.33
  6. Step 6: Final answer
    x = 70,995.32

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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.