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Finding the Fourth Proportional to 159,443.22, 239,000.76 and 70,738.50

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Solution

The fourth proportional to 159,443.22, 239,000.76 and 70,738.50 is: 106,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,443.22 : 239,000.76 = 70,738.50 : x
  2. Step 2: Convert to fraction form
    159,443.22/239,000.76 = 70,738.50/x
  3. Step 3: Cross multiply
    159,443.22x = 239,000.76 × 70,738.50
  4. Step 4: Simplify right side
    159,443.22x = 16,906,555,261.26
  5. Step 5: Solve for x
    x = 16,906,555,261.26/159,443.22
  6. Step 6: Final answer
    x = 106,034.96

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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.