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Finding the Fourth Proportional to 159,847.30, 239,770.92 and 47,527.06

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Solution

The fourth proportional to 159,847.30, 239,770.92 and 47,527.06 is: 71,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,847.30 : 239,770.92 = 47,527.06 : x
  2. Step 2: Convert to fraction form
    159,847.30/239,770.92 = 47,527.06/x
  3. Step 3: Cross multiply
    159,847.30x = 239,770.92 × 47,527.06
  4. Step 4: Simplify right side
    159,847.30x = 11,395,606,901.10
  5. Step 5: Solve for x
    x = 11,395,606,901.10/159,847.30
  6. Step 6: Final answer
    x = 71,290.58

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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.