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Finding the Fourth Proportional to 159,542.60, 239,270.70 and 47,222.60

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Solution

The fourth proportional to 159,542.60, 239,270.70 and 47,222.60 is: 70,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,542.60 : 239,270.70 = 47,222.60 : x
  2. Step 2: Convert to fraction form
    159,542.60/239,270.70 = 47,222.60/x
  3. Step 3: Cross multiply
    159,542.60x = 239,270.70 × 47,222.60
  4. Step 4: Simplify right side
    159,542.60x = 11,298,984,557.82
  5. Step 5: Solve for x
    x = 11,298,984,557.82/159,542.60
  6. Step 6: Final answer
    x = 70,821.11

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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.