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Finding the Fourth Proportional to 159,783.57, 239,641.34 and 47,433.33

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Solution

The fourth proportional to 159,783.57, 239,641.34 and 47,433.33 is: 71,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,783.57 : 239,641.34 = 47,433.33 : x
  2. Step 2: Convert to fraction form
    159,783.57/239,641.34 = 47,433.33/x
  3. Step 3: Cross multiply
    159,783.57x = 239,641.34 × 47,433.33
  4. Step 4: Simplify right side
    159,783.57x = 11,366,986,524.70
  5. Step 5: Solve for x
    x = 11,366,986,524.70/159,783.57
  6. Step 6: Final answer
    x = 71,139.90

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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.