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Finding the Fourth Proportional to 159,365.10, 238,991.92 and 47,015.48

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Solution

The fourth proportional to 159,365.10, 238,991.92 and 47,015.48 is: 70,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365.10 : 238,991.92 = 47,015.48 : x
  2. Step 2: Convert to fraction form
    159,365.10/238,991.92 = 47,015.48/x
  3. Step 3: Cross multiply
    159,365.10x = 238,991.92 × 47,015.48
  4. Step 4: Simplify right side
    159,365.10x = 11,236,319,834.92
  5. Step 5: Solve for x
    x = 11,236,319,834.92/159,365.10
  6. Step 6: Final answer
    x = 70,506.78

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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.