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Finding the Fourth Proportional to 159,894.41, 239,799.83 and 47,544.35

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Solution

The fourth proportional to 159,894.41, 239,799.83 and 47,544.35 is: 71,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,894.41 : 239,799.83 = 47,544.35 : x
  2. Step 2: Convert to fraction form
    159,894.41/239,799.83 = 47,544.35/x
  3. Step 3: Cross multiply
    159,894.41x = 239,799.83 × 47,544.35
  4. Step 4: Simplify right side
    159,894.41x = 11,401,125,610.74
  5. Step 5: Solve for x
    x = 11,401,125,610.74/159,894.41
  6. Step 6: Final answer
    x = 71,304.09

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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.