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Finding the Fourth Proportional to 159,764.50, 239,651.07 and 48,956.50

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Solution

The fourth proportional to 159,764.50, 239,651.07 and 48,956.50 is: 73,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,764.50 : 239,651.07 = 48,956.50 : x
  2. Step 2: Convert to fraction form
    159,764.50/239,651.07 = 48,956.50/x
  3. Step 3: Cross multiply
    159,764.50x = 239,651.07 × 48,956.50
  4. Step 4: Simplify right side
    159,764.50x = 11,732,477,608.46
  5. Step 5: Solve for x
    x = 11,732,477,608.46/159,764.50
  6. Step 6: Final answer
    x = 73,436.07

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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.