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Finding the Fourth Proportional to 159,604.40, 239,441.52 and 47,293.40

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Solution

The fourth proportional to 159,604.40, 239,441.52 and 47,293.40 is: 70,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,604.40 : 239,441.52 = 47,293.40 : x
  2. Step 2: Convert to fraction form
    159,604.40/239,441.52 = 47,293.40/x
  3. Step 3: Cross multiply
    159,604.40x = 239,441.52 × 47,293.40
  4. Step 4: Simplify right side
    159,604.40x = 11,324,003,581.97
  5. Step 5: Solve for x
    x = 11,324,003,581.97/159,604.40
  6. Step 6: Final answer
    x = 70,950.45

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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.