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Finding the Fourth Proportional to 159,564.82, 239,327.34 and 47,242.63

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Solution

The fourth proportional to 159,564.82, 239,327.34 and 47,242.63 is: 70,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,564.82 : 239,327.34 = 47,242.63 : x
  2. Step 2: Convert to fraction form
    159,564.82/239,327.34 = 47,242.63/x
  3. Step 3: Cross multiply
    159,564.82x = 239,327.34 × 47,242.63
  4. Step 4: Simplify right side
    159,564.82x = 11,306,452,972.50
  5. Step 5: Solve for x
    x = 11,306,452,972.50/159,564.82
  6. Step 6: Final answer
    x = 70,858.06

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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.