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Finding the Fourth Proportional to 159,478.56, 239,261.40 and 47,164.32

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Solution

The fourth proportional to 159,478.56, 239,261.40 and 47,164.32 is: 70,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,478.56 : 239,261.40 = 47,164.32 : x
  2. Step 2: Convert to fraction form
    159,478.56/239,261.40 = 47,164.32/x
  3. Step 3: Cross multiply
    159,478.56x = 239,261.40 × 47,164.32
  4. Step 4: Simplify right side
    159,478.56x = 11,284,601,233.25
  5. Step 5: Solve for x
    x = 11,284,601,233.25/159,478.56
  6. Step 6: Final answer
    x = 70,759.36

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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.