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Finding the Fourth Proportional to 159,744.60, 239,573.70 and 47,424.60

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Solution

The fourth proportional to 159,744.60, 239,573.70 and 47,424.60 is: 71,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744.60 : 239,573.70 = 47,424.60 : x
  2. Step 2: Convert to fraction form
    159,744.60/239,573.70 = 47,424.60/x
  3. Step 3: Cross multiply
    159,744.60x = 239,573.70 × 47,424.60
  4. Step 4: Simplify right side
    159,744.60x = 11,361,686,893.02
  5. Step 5: Solve for x
    x = 11,361,686,893.02/159,744.60
  6. Step 6: Final answer
    x = 71,124.07

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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.